Question
What is the quotient and remainder when $ 1596 $ is divided by $ 42 $ ?
Answer
The quotient is 38 and the remainder is 0.
Explanation
| Division Table | |||||
| 0 | 0 | 3 | 8 | ||
| 4 | 2 | 1 | 5 | 9 | 6 |
| – | 0 | ||||
| 1 | 5 | ||||
| – | 0 | ||||
| 1 | 5 | 9 | |||
| – | 1 | 2 | 6 | ||
| 3 | 3 | 6 | |||
| – | 3 | 3 | 6 | ||
| 0 | |||||
|
STEP 0: set up a division table |
|||||
| 4 | 2 | 1 | 5 | 9 | 6 |
|
STEP 1: DIVIDE 1 : 42 = 0 with a remainder of 1 |
|||||
| 0 | |||||
| 4 | 2 | 1 | 5 | 9 | 6 |
|
STEP 2: MULTIPLY 0 · 42 = 0 |
|||||
| 0 | |||||
| 4 | 2 | 1 | 5 | 9 | 6 |
| 0 | |||||
|
STEP 3: SUBTRACT 1 - 0 = 1 |
|||||
| 0 | |||||
| 4 | 2 | 1 | 5 | 9 | 6 |
| – | 0 | ||||
| 1 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 4 | 2 | 1 | 5 | 9 | 6 |
| – | 0 | ||||
| 1 | 5 | ||||
|
STEP 5: DIVIDE 15 : 42 = 0 with a remainder of 15 |
|||||
| 0 | 0 | ||||
| 4 | 2 | 1 | 5 | 9 | 6 |
| – | 0 | ||||
| 1 | 5 | ||||
|
STEP 6: MULTIPLY 0 · 42 = 0 |
|||||
| 0 | 0 | ||||
| 4 | 2 | 1 | 5 | 9 | 6 |
| – | 0 | ||||
| 1 | 5 | ||||
| 0 | |||||
|
STEP 7: SUBTRACT 15 - 0 = 15 |
|||||
| 0 | 0 | ||||
| 4 | 2 | 1 | 5 | 9 | 6 |
| – | 0 | ||||
| 1 | 5 | ||||
| – | 0 | ||||
| 1 | 5 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 0 | ||||
| 4 | 2 | 1 | 5 | 9 | 6 |
| – | 0 | ||||
| 1 | 5 | ||||
| – | 0 | ||||
| 1 | 5 | 9 | |||
|
STEP 9: DIVIDE 159 : 42 = 3 with a remainder of 33 |
|||||
| 0 | 0 | 3 | |||
| 4 | 2 | 1 | 5 | 9 | 6 |
| – | 0 | ||||
| 1 | 5 | ||||
| – | 0 | ||||
| 1 | 5 | 9 | |||
|
STEP 10: MULTIPLY 3 · 42 = 126 |
|||||
| 0 | 0 | 3 | |||
| 4 | 2 | 1 | 5 | 9 | 6 |
| – | 0 | ||||
| 1 | 5 | ||||
| – | 0 | ||||
| 1 | 5 | 9 | |||
| 1 | 2 | 6 | |||
|
STEP 11: SUBTRACT 159 - 126 = 33 |
|||||
| 0 | 0 | 3 | |||
| 4 | 2 | 1 | 5 | 9 | 6 |
| – | 0 | ||||
| 1 | 5 | ||||
| – | 0 | ||||
| 1 | 5 | 9 | |||
| – | 1 | 2 | 6 | ||
| 3 | 3 | ||||
| STEP 12: BRING DOWN | |||||
| 0 | 0 | 3 | |||
| 4 | 2 | 1 | 5 | 9 | 6 |
| – | 0 | ||||
| 1 | 5 | ||||
| – | 0 | ||||
| 1 | 5 | 9 | |||
| – | 1 | 2 | 6 | ||
| 3 | 3 | 6 | |||
|
STEP 13: DIVIDE 336 : 42 = 8 with a remainder of 0 |
|||||
| 0 | 0 | 3 | 8 | ||
| 4 | 2 | 1 | 5 | 9 | 6 |
| – | 0 | ||||
| 1 | 5 | ||||
| – | 0 | ||||
| 1 | 5 | 9 | |||
| – | 1 | 2 | 6 | ||
| 3 | 3 | 6 | |||
|
STEP 14: MULTIPLY 8 · 42 = 336 |
|||||
| 0 | 0 | 3 | 8 | ||
| 4 | 2 | 1 | 5 | 9 | 6 |
| – | 0 | ||||
| 1 | 5 | ||||
| – | 0 | ||||
| 1 | 5 | 9 | |||
| – | 1 | 2 | 6 | ||
| 3 | 3 | 6 | |||
| 3 | 3 | 6 | |||
|
STEP 15: SUBTRACT 336 - 336 = 0 |
|||||
| 0 | 0 | 3 | 8 | ||
| 4 | 2 | 1 | 5 | 9 | 6 |
| – | 0 | ||||
| 1 | 5 | ||||
| – | 0 | ||||
| 1 | 5 | 9 | |||
| – | 1 | 2 | 6 | ||
| 3 | 3 | 6 | |||
| – | 3 | 3 | 6 | ||
| 0 | |||||
|
STEP 15: SUBTRACT 336 - 336 = 0 |
|||||
| 0 | 0 | 3 | 8 | ||
| 4 | 2 | 1 | 5 | 9 | 6 |
| – | 0 | ||||
| 1 | 5 | ||||
| – | 0 | ||||
| 1 | 5 | 9 | |||
| – | 1 | 2 | 6 | ||
| 3 | 3 | 6 | |||
| – | 3 | 3 | 6 | ||
| 0 | |||||
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