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What is the quotient and remainder when $ 86376 $ is divided by $ 59 $ ?
Answer
The quotient is 1464 and the remainder is 0.
Explanation
Division Table
|
| | 0 | 1 | 4 | 6 | 4 |
5 | 9 | 8 | 6 | 3 | 7 | 6 |
| – | 0 | | | | |
| | 8 | 6 | | | |
| – | 5 | 9 | | | |
| | 2 | 7 | 3 | | |
| – | 2 | 3 | 6 | | |
| | | 3 | 7 | 7 | |
| | – | 3 | 5 | 4 | |
| | | | 2 | 3 | 6 |
| | | – | 2 | 3 | 6 |
| | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | |
5 | 9 | 8 | 6 | 3 | 7 | 6 |
STEP 1: DIVIDE 8 : 59 = 0 with a remainder of 8
|
| | 0 | | | | |
5 | 9 | 8 | 6 | 3 | 7 | 6 |
STEP 2: MULTIPLY 0 · 59 = 0
|
| | 0 | | | | |
5 | 9 | 8 | 6 | 3 | 7 | 6 |
| | 0 | | | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | 0 | | | | |
5 | 9 | 8 | 6 | 3 | 7 | 6 |
| – | 0 | | | | |
| | 8 | | | | |
STEP 4: BRING DOWN
|
| | 0 | | | | |
5 | 9 | 8 | 6 | 3 | 7 | 6 |
| – | 0 | | | | |
| | 8 | 6 | | | |
STEP 5: DIVIDE 86 : 59 = 1 with a remainder of 27
|
| | 0 | 1 | | | |
5 | 9 | 8 | 6 | 3 | 7 | 6 |
| – | 0 | | | | |
| | 8 | 6 | | | |
STEP 6: MULTIPLY 1 · 59 = 59
|
| | 0 | 1 | | | |
5 | 9 | 8 | 6 | 3 | 7 | 6 |
| – | 0 | | | | |
| | 8 | 6 | | | |
| | 5 | 9 | | | |
STEP 7: SUBTRACT 86 - 59 = 27
|
| | 0 | 1 | | | |
5 | 9 | 8 | 6 | 3 | 7 | 6 |
| – | 0 | | | | |
| | 8 | 6 | | | |
| – | 5 | 9 | | | |
| | 2 | 7 | | | |
STEP 8: BRING DOWN
|
| | 0 | 1 | | | |
5 | 9 | 8 | 6 | 3 | 7 | 6 |
| – | 0 | | | | |
| | 8 | 6 | | | |
| – | 5 | 9 | | | |
| | 2 | 7 | 3 | | |
STEP 9: DIVIDE 273 : 59 = 4 with a remainder of 37
|
| | 0 | 1 | 4 | | |
5 | 9 | 8 | 6 | 3 | 7 | 6 |
| – | 0 | | | | |
| | 8 | 6 | | | |
| – | 5 | 9 | | | |
| | 2 | 7 | 3 | | |
STEP 10: MULTIPLY 4 · 59 = 236
|
| | 0 | 1 | 4 | | |
5 | 9 | 8 | 6 | 3 | 7 | 6 |
| – | 0 | | | | |
| | 8 | 6 | | | |
| – | 5 | 9 | | | |
| | 2 | 7 | 3 | | |
| | 2 | 3 | 6 | | |
STEP 11: SUBTRACT 273 - 236 = 37
|
| | 0 | 1 | 4 | | |
5 | 9 | 8 | 6 | 3 | 7 | 6 |
| – | 0 | | | | |
| | 8 | 6 | | | |
| – | 5 | 9 | | | |
| | 2 | 7 | 3 | | |
| – | 2 | 3 | 6 | | |
| | | 3 | 7 | | |
STEP 12: BRING DOWN
|
| | 0 | 1 | 4 | | |
5 | 9 | 8 | 6 | 3 | 7 | 6 |
| – | 0 | | | | |
| | 8 | 6 | | | |
| – | 5 | 9 | | | |
| | 2 | 7 | 3 | | |
| – | 2 | 3 | 6 | | |
| | | 3 | 7 | 7 | |
STEP 13: DIVIDE 377 : 59 = 6 with a remainder of 23
|
| | 0 | 1 | 4 | 6 | |
5 | 9 | 8 | 6 | 3 | 7 | 6 |
| – | 0 | | | | |
| | 8 | 6 | | | |
| – | 5 | 9 | | | |
| | 2 | 7 | 3 | | |
| – | 2 | 3 | 6 | | |
| | | 3 | 7 | 7 | |
STEP 14: MULTIPLY 6 · 59 = 354
|
| | 0 | 1 | 4 | 6 | |
5 | 9 | 8 | 6 | 3 | 7 | 6 |
| – | 0 | | | | |
| | 8 | 6 | | | |
| – | 5 | 9 | | | |
| | 2 | 7 | 3 | | |
| – | 2 | 3 | 6 | | |
| | | 3 | 7 | 7 | |
| | | 3 | 5 | 4 | |
STEP 15: SUBTRACT 377 - 354 = 23
|
| | 0 | 1 | 4 | 6 | |
5 | 9 | 8 | 6 | 3 | 7 | 6 |
| – | 0 | | | | |
| | 8 | 6 | | | |
| – | 5 | 9 | | | |
| | 2 | 7 | 3 | | |
| – | 2 | 3 | 6 | | |
| | | 3 | 7 | 7 | |
| | – | 3 | 5 | 4 | |
| | | | 2 | 3 | |
STEP 16: BRING DOWN
|
| | 0 | 1 | 4 | 6 | |
5 | 9 | 8 | 6 | 3 | 7 | 6 |
| – | 0 | | | | |
| | 8 | 6 | | | |
| – | 5 | 9 | | | |
| | 2 | 7 | 3 | | |
| – | 2 | 3 | 6 | | |
| | | 3 | 7 | 7 | |
| | – | 3 | 5 | 4 | |
| | | | 2 | 3 | 6 |
STEP 17: DIVIDE 236 : 59 = 4 with a remainder of 0
|
| | 0 | 1 | 4 | 6 | 4 |
5 | 9 | 8 | 6 | 3 | 7 | 6 |
| – | 0 | | | | |
| | 8 | 6 | | | |
| – | 5 | 9 | | | |
| | 2 | 7 | 3 | | |
| – | 2 | 3 | 6 | | |
| | | 3 | 7 | 7 | |
| | – | 3 | 5 | 4 | |
| | | | 2 | 3 | 6 |
STEP 18: MULTIPLY 4 · 59 = 236
|
| | 0 | 1 | 4 | 6 | 4 |
5 | 9 | 8 | 6 | 3 | 7 | 6 |
| – | 0 | | | | |
| | 8 | 6 | | | |
| – | 5 | 9 | | | |
| | 2 | 7 | 3 | | |
| – | 2 | 3 | 6 | | |
| | | 3 | 7 | 7 | |
| | – | 3 | 5 | 4 | |
| | | | 2 | 3 | 6 |
| | | | 2 | 3 | 6 |
STEP 19: SUBTRACT 236 - 236 = 0
|
| | 0 | 1 | 4 | 6 | 4 |
5 | 9 | 8 | 6 | 3 | 7 | 6 |
| – | 0 | | | | |
| | 8 | 6 | | | |
| – | 5 | 9 | | | |
| | 2 | 7 | 3 | | |
| – | 2 | 3 | 6 | | |
| | | 3 | 7 | 7 | |
| | – | 3 | 5 | 4 | |
| | | | 2 | 3 | 6 |
| | | – | 2 | 3 | 6 |
| | | | | | 0 |
STEP 19: SUBTRACT 236 - 236 = 0
|
| | 0 | 1 | 4 | 6 | 4 |
5 | 9 | 8 | 6 | 3 | 7 | 6 |
| – | 0 | | | | |
| | 8 | 6 | | | |
| – | 5 | 9 | | | |
| | 2 | 7 | 3 | | |
| – | 2 | 3 | 6 | | |
| | | 3 | 7 | 7 | |
| | – | 3 | 5 | 4 | |
| | | | 2 | 3 | 6 |
| | | – | 2 | 3 | 6 |
| | | | | | 0 |
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