diff --git a/src/rp2_common/pico_divider/divider.S b/src/rp2_common/pico_divider/divider.S
index 12eae38..8112681 100644
--- a/src/rp2_common/pico_divider/divider.S
+++ b/src/rp2_common/pico_divider/divider.S
@@ -11,16 +11,21 @@
 .cpu cortex-m0plus
 .thumb
 
+// PICO_CONFIG: PICO_DIVIDER_DISABLE_INTERRUPTS, Disable interrupts around division such that divider state need not be saved/restored in exception handlers, default=0, group=pico_divider
+
 #include "pico/asm_helper.S"
 
+// PICO_CONFIG: PICO_DIVIDER_CALL_IDIV0, Whether 32 bit division by zero should call __aeabi_idiv0, default=1, group=pico_divider
 #ifndef PICO_DIVIDER_CALL_IDIV0
 #define PICO_DIVIDER_CALL_IDIV0 1
 #endif
 
+// PICO_CONFIG: PICO_DIVIDER_CALL_IDIV0, Whether 64 bit division by zero should call __aeabi_ldiv0, default=1, group=pico_divider
 #ifndef PICO_DIVIDER_CALL_LDIV0
 #define PICO_DIVIDER_CALL_LDIV0 1
 #endif
 
+// PICO_CONFIG: PICO_DIVIDER_IN_RAM, Whether divider functions should be placed in RAM, default=0, group=pico_divider
 .macro div_section name
 #if PICO_DIVIDER_IN_RAM
 .section RAM_SECTION_NAME(\name), "ax"
@@ -56,6 +61,8 @@ need to change SHIFT above
 #error register layout has changed - we rely on this order to make sure we save/restore in the right order
 #endif
 
+#if !PICO_DIVIDER_DISABLE_INTERRUPTS
+
 # SIO_BASE ptr in r2
 .macro save_div_state_and_lr
     ldr r3, [r2, #SIO_DIV_CSR_OFFSET]
@@ -137,6 +144,7 @@ need to change SHIFT above
     pop {r4, r5, r6, r7, pc}
 .endm
 
+#endif /* !PICO_DIVIDER_DISABLE_INTERRUPTS */
 
 // since idiv and idivmod only differ by a cycle, we'll make them the same!
 div_section WRAPPER_FUNC_NAME(__aeabi_idiv)
@@ -145,12 +153,22 @@ wrapper_func __aeabi_idiv
 wrapper_func __aeabi_idivmod
 regular_func div_s32s32
 regular_func divmod_s32s32
+#if !PICO_DIVIDER_DISABLE_INTERRUPTS
     ldr r2, =(SIO_BASE)
     # to support IRQ usage we must save/restore
     ldr r3, [r2, #SIO_DIV_CSR_OFFSET]
     lsrs r3, #SIO_DIV_CSR_DIRTY_SHIFT_FOR_CARRY
     bcs divmod_s32s32_savestate
 regular_func divmod_s32s32_unsafe
+#else
+# to avoid too much source code spaghetti with restoring interrupts, we make this the same as the other funcs
+# in the PICO_DIVIDER_DISABLE_INTERRUPTS case; i.e. it is not a faster function; this seems reasonable as there
+# are the hardware_divider functions that can be used instead anyway
+regular_func divmod_s32s32_unsafe
+    ldr r2, =(SIO_BASE)
+    mrs r3, PRIMASK
+    cpsid i
+#endif /* !PICO_DIVIDER_DISABLE_INTERRUPTS */
     str r0, [r2, #SIO_DIV_SDIVIDEND_OFFSET]
     str r1, [r2, #SIO_DIV_SDIVISOR_OFFSET]
     cmp r1, #0
@@ -159,8 +177,14 @@ regular_func divmod_s32s32_unsafe
     // return 64 bit value so we can efficiently return both (note read order is important since QUOTIENT must be read last)
     ldr r1, [r2, #SIO_DIV_REMAINDER_OFFSET]
     ldr r0, [r2, #SIO_DIV_QUOTIENT_OFFSET]
+#if PICO_DIVIDER_DISABLE_INTERRUPTS
+    msr PRIMASK, r3
+#endif /* PICO_DIVIDER_DISABLE_INTERRUPTS */
     bx lr
 1:
+#if PICO_DIVIDER_DISABLE_INTERRUPTS
+    msr PRIMASK, r3
+#endif /* PICO_DIVIDER_DISABLE_INTERRUPTS */
     push {r2, lr}
     movs r1, #0x80
     lsls r1, #24
@@ -176,11 +200,13 @@ regular_func divmod_s32s32_unsafe
     movs r1, #0 // remainder 0
     // need to restore saved r2 as it hold SIO ptr
     pop {r2, pc}
+#if !PICO_DIVIDER_DISABLE_INTERRUPTS
 .align 2
 regular_func divmod_s32s32_savestate
     save_div_state_and_lr
     bl divmod_s32s32_unsafe
     restore_div_state_and_return
+#endif /* !PICO_DIVIDER_DISABLE_INTERRUPTS */
 
 // since uidiv and uidivmod only differ by a cycle, we'll make them the same!
 div_section WRAPPER_FUNC_NAME(__aeabi_uidiv)
@@ -188,12 +214,22 @@ regular_func div_u32u32
 regular_func divmod_u32u32
 wrapper_func __aeabi_uidiv
 wrapper_func __aeabi_uidivmod
+#if !PICO_DIVIDER_DISABLE_INTERRUPTS
     ldr r2, =(SIO_BASE)
     # to support IRQ usage we must save/restore
     ldr r3, [r2, #SIO_DIV_CSR_OFFSET]
     lsrs r3, #SIO_DIV_CSR_DIRTY_SHIFT_FOR_CARRY
     bcs divmod_u32u32_savestate
 regular_func divmod_u32u32_unsafe
+#else
+# to avoid too much source code spaghetti with restoring interrupts, we make this the same as the other funcs
+# in the PICO_DIVIDER_DISABLE_INTERRUPTS case; i.e. it is not a faster function; this seems reasonable as there
+# are the hardware_divider functions that can be used instead anyway
+regular_func divmod_u32u32_unsafe
+    ldr r2, =(SIO_BASE)
+    mrs r3, PRIMASK
+    cpsid i
+#endif /* !PICO_DIVIDER_DISABLE_INTERRUPTS */
     str r0, [r2, #SIO_DIV_UDIVIDEND_OFFSET]
     str r1, [r2, #SIO_DIV_UDIVISOR_OFFSET]
     cmp r1, #0
@@ -202,8 +238,14 @@ regular_func divmod_u32u32_unsafe
     // return 64 bit value so we can efficiently return both (note read order is important since QUOTIENT must be read last)
     ldr r1, [r2, #SIO_DIV_REMAINDER_OFFSET]
     ldr r0, [r2, #SIO_DIV_QUOTIENT_OFFSET]
+#if PICO_DIVIDER_DISABLE_INTERRUPTS
+    msr PRIMASK, r3
+#endif /* PICO_DIVIDER_DISABLE_INTERRUPTS */
     bx lr
 1:
+#if PICO_DIVIDER_DISABLE_INTERRUPTS
+    msr PRIMASK, r3
+#endif /* PICO_DIVIDER_DISABLE_INTERRUPTS */
     push {r2, lr}
     cmp r0, #0
     beq 1f
@@ -216,11 +258,13 @@ regular_func divmod_u32u32_unsafe
     movs r1, #0 // remainder 0
     // need to restore saved r2 as it hold SIO ptr
     pop {r2, pc}
+#if !PICO_DIVIDER_DISABLE_INTERRUPTS
 .align 2
 regular_func divmod_u32u32_savestate
     save_div_state_and_lr
     bl divmod_u32u32_unsafe
     restore_div_state_and_return
+#endif /* !PICO_DIVIDER_DISABLE_INTERRUPTS */
 
 div_section WRAPPER_FUNC_NAME(__aeabi_ldiv)
 
@@ -228,6 +272,7 @@ div_section WRAPPER_FUNC_NAME(__aeabi_ldiv)
 wrapper_func __aeabi_ldivmod
 regular_func div_s64s64
 regular_func divmod_s64s64
+#if !PICO_DIVIDER_DISABLE_INTERRUPTS
     mov ip, r2
     ldr r2, =(SIO_BASE)
     # to support IRQ usage we must save/restore
@@ -241,11 +286,20 @@ divmod_s64s64_savestate:
     save_div_state_and_lr_64
     bl divmod_s64s64_unsafe
     restore_div_state_and_return_64
+#else
+    push {r4, lr}
+    mrs r4, PRIMASK
+    cpsid i
+    bl divmod_s64s64_unsafe
+    msr PRIMASK, r4
+    pop {r4, pc}
+#endif /* !PICO_DIVIDER_DISABLE_INTERRUPTS */
 
 .align 2
 wrapper_func __aeabi_uldivmod
 regular_func div_u64u64
 regular_func divmod_u64u64
+#if !PICO_DIVIDER_DISABLE_INTERRUPTS
     mov ip, r2
     ldr r2, =(SIO_BASE)
     # to support IRQ usage we must save/restore
@@ -259,6 +313,15 @@ regular_func divmod_u64u64_savestate
     save_div_state_and_lr_64
     bl divmod_u64u64_unsafe
     restore_div_state_and_return_64
+#else
+    push {r4, lr}
+    mrs r4, PRIMASK
+    cpsid i
+    bl divmod_u64u64_unsafe
+    msr PRIMASK, r4
+    pop {r4, pc}
+#endif /* !PICO_DIVIDER_DISABLE_INTERRUPTS */
+
 .macro dneg lo,hi
  mvns \hi,\hi
  rsbs \lo,#0
diff --git a/test/pico_divider_test/CMakeLists.txt b/test/pico_divider_test/CMakeLists.txt
index 4e922a4..c1ee628 100644
--- a/test/pico_divider_test/CMakeLists.txt
+++ b/test/pico_divider_test/CMakeLists.txt
@@ -12,6 +12,27 @@ if (PICO_ON_DEVICE)
     pico_add_extra_outputs(pico_divider_test)
 
     target_compile_definitions(pico_divider_test PRIVATE
+            PICO_DIVIDER_DISABLE_INTERRUPTS=1
 #            TURBO
     )
+
+    # this is a separate test as hardware_explicit above causes it not to be tested at all!
+    add_library(pico_divider_nesting_test_core INTERFACE)
+    target_sources(pico_divider_nesting_test_core INTERFACE
+            pico_divider_nesting_test.c
+    )
+    target_link_libraries(pico_divider_nesting_test_core INTERFACE pico_stdlib hardware_dma)
+
+    add_executable(pico_divider_nesting_test_with_dirty_check)
+    target_link_libraries(pico_divider_nesting_test_with_dirty_check pico_divider_nesting_test_core)
+    pico_set_divider_implementation(pico_divider_nesting_test_with_dirty_check hardware)
+    pico_add_extra_outputs(pico_divider_nesting_test_with_dirty_check)
+
+    add_executable(pico_divider_nesting_test_with_disable_irq)
+    target_link_libraries(pico_divider_nesting_test_with_disable_irq pico_divider_nesting_test_core)
+    target_compile_definitions(pico_divider_nesting_test_with_disable_irq PRIVATE
+            PICO_DIVIDER_DISABLE_INTERRUPTS=1)
+    pico_set_divider_implementation(pico_divider_nesting_test_with_disable_irq hardware)
+    pico_add_extra_outputs(pico_divider_nesting_test_with_disable_irq)
+
 endif()
\ No newline at end of file
diff --git a/test/pico_divider_test/pico_divider_nesting_test.c b/test/pico_divider_test/pico_divider_nesting_test.c
new file mode 100644
index 0000000..4224181
--- /dev/null
+++ b/test/pico_divider_test/pico_divider_nesting_test.c
@@ -0,0 +1,142 @@
+/*
+ * Copyright (c) 2020 Raspberry Pi (Trading) Ltd.
+ *
+ * SPDX-License-Identifier: BSD-3-Clause
+ */
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <math.h>
+#include "pico/stdlib.h"
+#include "hardware/dma.h"
+#include "hardware/irq.h"
+
+volatile bool failed;
+volatile uint32_t count[3];
+volatile bool done;
+
+bool timer_callback(repeating_timer_t *t) {
+    count[0]++;
+    static int z;
+    for (int i=0; i<100;i++) {
+        z += 23;
+        int a = z / 7;
+        int b = z % 7;
+        if (z != a * 7 + b) {
+            failed = true;
+        }
+    }
+    return !done;
+}
+
+void do_dma_start(uint ch) {
+    static uint32_t word[2];
+    assert(ch < 2);
+    dma_channel_config c = dma_channel_get_default_config(ch);
+    // todo remove this; landing in a separate PR
+#ifndef DREQ_DMA_TIMER0
+#define DREQ_DMA_TIMER0 0x3b
+#endif
+    channel_config_set_dreq(&c, DREQ_DMA_TIMER0);
+    dma_channel_configure(ch, &c, &word[ch], &word[ch], 513 + ch * 23, true);
+}
+
+void test_irq_handler0() {
+    count[1]++;
+    dma_hw->ints0 |= 1u;
+    static uint z;
+    for (int i=0; i<80;i++) {
+        z += 31;
+        uint a = z / 11;
+        uint b = z % 11;
+        if (z != a * 11 + b) {
+            failed = true;
+        }
+    }
+    if (done) dma_channel_abort(0);
+    else      do_dma_start(0);
+}
+
+void test_irq_handler1() {
+    static uint z;
+    dma_hw->ints1 |= 2u;
+    count[2]++;
+    for (int i=0; i<130;i++) {
+        z += 47;
+        uint a = z / -13;
+        uint b = z % -13;
+        if (z != a * -13 + b) {
+            failed = true;
+        }
+        static uint64_t z64;
+        z64 -= 47;
+        uint64_t a64 = z64 / -13;
+        uint64_t b64 = z64 % -13;
+        if (z64 != a64 * -13 + b64) {
+            failed = true;
+        }
+    }
+    if (done) dma_channel_abort(1);
+    else      do_dma_start(1);
+}
+
+void test_nesting() {
+    uint z = 0;
+
+    // We have 3 different IRQ handlers, one for timer, two for DMA completion (on DMA_IRQ0/1)
+    // thus we expect re-entrancy even between IRQs
+    //
+    // They all busily make use of the dividers, to expose any issues with nested use
+
+    repeating_timer_t timer;
+    add_repeating_timer_us(529, timer_callback, NULL, &timer);
+    irq_set_exclusive_handler(DMA_IRQ_0, test_irq_handler0);
+    irq_set_exclusive_handler(DMA_IRQ_1, test_irq_handler1);
+
+    dma_set_irq0_channel_mask_enabled(1u, true);
+    dma_set_irq1_channel_mask_enabled(2u, true);
+    dma_hw->timer[0] = (1 << 16) | 32; // run at 1/32 system clock
+
+    irq_set_enabled(DMA_IRQ_0, 1);
+    irq_set_enabled(DMA_IRQ_1, 1);
+    do_dma_start(0);
+    do_dma_start(1);
+    absolute_time_t end = delayed_by_ms(get_absolute_time(), 2000);
+    int count_local=0;
+    while (!time_reached(end)) {
+        for(uint i=0;i<100;i++) {
+            z += 31;
+            uint a = z / 11;
+            uint b = z % 11;
+            if (z != a * 11 + b) {
+                failed = true;
+            }
+        }
+        count_local++;
+    }
+    done = true;
+    cancel_repeating_timer(&timer);
+    printf("%d: %d %d %d\n", count_local, (int)count[0], (int)count[1], (int)count[2]);
+
+    // make sure all the IRQs ran
+    if (!(count_local && count[0] && count[1] && count[2])) {
+        printf("DID NOT RUN\n");
+        exit(1);
+    }
+    if (failed) {
+        printf("FAILED\n");
+        exit(1);
+    }
+}
+
+int main() {
+#ifndef uart_default
+#warning test/pico_divider requires a default uart
+#else
+    stdio_init_all();
+#endif
+    test_nesting();
+    printf("PASSED\n");
+    return 0;
+}
+