Question
What is the quotient and remainder when $ 40120 $ is divided by $ 32 $ ?
Answer
The quotient is 1253 and the remainder is 24.
Explanation
| Division Table | ||||||
| 0 | 1 | 2 | 5 | 3 | ||
| 3 | 2 | 4 | 0 | 1 | 2 | 0 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 3 | 2 | ||||
| 8 | 1 | |||||
| – | 6 | 4 | ||||
| 1 | 7 | 2 | ||||
| – | 1 | 6 | 0 | |||
| 1 | 2 | 0 | ||||
| – | 9 | 6 | ||||
| 2 | 4 | |||||
|
STEP 0: set up a division table |
||||||
| 3 | 2 | 4 | 0 | 1 | 2 | 0 |
|
STEP 1: DIVIDE 4 : 32 = 0 with a remainder of 4 |
||||||
| 0 | ||||||
| 3 | 2 | 4 | 0 | 1 | 2 | 0 |
|
STEP 2: MULTIPLY 0 · 32 = 0 |
||||||
| 0 | ||||||
| 3 | 2 | 4 | 0 | 1 | 2 | 0 |
| 0 | ||||||
|
STEP 3: SUBTRACT 4 - 0 = 4 |
||||||
| 0 | ||||||
| 3 | 2 | 4 | 0 | 1 | 2 | 0 |
| – | 0 | |||||
| 4 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 3 | 2 | 4 | 0 | 1 | 2 | 0 |
| – | 0 | |||||
| 4 | 0 | |||||
|
STEP 5: DIVIDE 40 : 32 = 1 with a remainder of 8 |
||||||
| 0 | 1 | |||||
| 3 | 2 | 4 | 0 | 1 | 2 | 0 |
| – | 0 | |||||
| 4 | 0 | |||||
|
STEP 6: MULTIPLY 1 · 32 = 32 |
||||||
| 0 | 1 | |||||
| 3 | 2 | 4 | 0 | 1 | 2 | 0 |
| – | 0 | |||||
| 4 | 0 | |||||
| 3 | 2 | |||||
|
STEP 7: SUBTRACT 40 - 32 = 8 |
||||||
| 0 | 1 | |||||
| 3 | 2 | 4 | 0 | 1 | 2 | 0 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 3 | 2 | ||||
| 8 | ||||||
| STEP 8: BRING DOWN | ||||||
| 0 | 1 | |||||
| 3 | 2 | 4 | 0 | 1 | 2 | 0 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 3 | 2 | ||||
| 8 | 1 | |||||
|
STEP 9: DIVIDE 81 : 32 = 2 with a remainder of 17 |
||||||
| 0 | 1 | 2 | ||||
| 3 | 2 | 4 | 0 | 1 | 2 | 0 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 3 | 2 | ||||
| 8 | 1 | |||||
|
STEP 10: MULTIPLY 2 · 32 = 64 |
||||||
| 0 | 1 | 2 | ||||
| 3 | 2 | 4 | 0 | 1 | 2 | 0 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 3 | 2 | ||||
| 8 | 1 | |||||
| 6 | 4 | |||||
|
STEP 11: SUBTRACT 81 - 64 = 17 |
||||||
| 0 | 1 | 2 | ||||
| 3 | 2 | 4 | 0 | 1 | 2 | 0 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 3 | 2 | ||||
| 8 | 1 | |||||
| – | 6 | 4 | ||||
| 1 | 7 | |||||
| STEP 12: BRING DOWN | ||||||
| 0 | 1 | 2 | ||||
| 3 | 2 | 4 | 0 | 1 | 2 | 0 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 3 | 2 | ||||
| 8 | 1 | |||||
| – | 6 | 4 | ||||
| 1 | 7 | 2 | ||||
|
STEP 13: DIVIDE 172 : 32 = 5 with a remainder of 12 |
||||||
| 0 | 1 | 2 | 5 | |||
| 3 | 2 | 4 | 0 | 1 | 2 | 0 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 3 | 2 | ||||
| 8 | 1 | |||||
| – | 6 | 4 | ||||
| 1 | 7 | 2 | ||||
|
STEP 14: MULTIPLY 5 · 32 = 160 |
||||||
| 0 | 1 | 2 | 5 | |||
| 3 | 2 | 4 | 0 | 1 | 2 | 0 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 3 | 2 | ||||
| 8 | 1 | |||||
| – | 6 | 4 | ||||
| 1 | 7 | 2 | ||||
| 1 | 6 | 0 | ||||
|
STEP 15: SUBTRACT 172 - 160 = 12 |
||||||
| 0 | 1 | 2 | 5 | |||
| 3 | 2 | 4 | 0 | 1 | 2 | 0 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 3 | 2 | ||||
| 8 | 1 | |||||
| – | 6 | 4 | ||||
| 1 | 7 | 2 | ||||
| – | 1 | 6 | 0 | |||
| 1 | 2 | |||||
| STEP 16: BRING DOWN | ||||||
| 0 | 1 | 2 | 5 | |||
| 3 | 2 | 4 | 0 | 1 | 2 | 0 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 3 | 2 | ||||
| 8 | 1 | |||||
| – | 6 | 4 | ||||
| 1 | 7 | 2 | ||||
| – | 1 | 6 | 0 | |||
| 1 | 2 | 0 | ||||
|
STEP 17: DIVIDE 120 : 32 = 3 with a remainder of 24 |
||||||
| 0 | 1 | 2 | 5 | 3 | ||
| 3 | 2 | 4 | 0 | 1 | 2 | 0 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 3 | 2 | ||||
| 8 | 1 | |||||
| – | 6 | 4 | ||||
| 1 | 7 | 2 | ||||
| – | 1 | 6 | 0 | |||
| 1 | 2 | 0 | ||||
|
STEP 18: MULTIPLY 3 · 32 = 96 |
||||||
| 0 | 1 | 2 | 5 | 3 | ||
| 3 | 2 | 4 | 0 | 1 | 2 | 0 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 3 | 2 | ||||
| 8 | 1 | |||||
| – | 6 | 4 | ||||
| 1 | 7 | 2 | ||||
| – | 1 | 6 | 0 | |||
| 1 | 2 | 0 | ||||
| 9 | 6 | |||||
|
STEP 19: SUBTRACT 120 - 96 = 24 |
||||||
| 0 | 1 | 2 | 5 | 3 | ||
| 3 | 2 | 4 | 0 | 1 | 2 | 0 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 3 | 2 | ||||
| 8 | 1 | |||||
| – | 6 | 4 | ||||
| 1 | 7 | 2 | ||||
| – | 1 | 6 | 0 | |||
| 1 | 2 | 0 | ||||
| – | 9 | 6 | ||||
| 2 | 4 | |||||
|
STEP 19: SUBTRACT 120 - 96 = 24 |
||||||
| 0 | 1 | 2 | 5 | 3 | ||
| 3 | 2 | 4 | 0 | 1 | 2 | 0 |
| – | 0 | |||||
| 4 | 0 | |||||
| – | 3 | 2 | ||||
| 8 | 1 | |||||
| – | 6 | 4 | ||||
| 1 | 7 | 2 | ||||
| – | 1 | 6 | 0 | |||
| 1 | 2 | 0 | ||||
| – | 9 | 6 | ||||
| 2 | 4 | |||||
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