Question
What is the quotient and remainder when $ 13072 $ is divided by $ 86 $ ?
Answer
The quotient is 152 and the remainder is 0.
Explanation
| Division Table | ||||||
| 0 | 0 | 1 | 5 | 2 | ||
| 8 | 6 | 1 | 3 | 0 | 7 | 2 |
| – | 0 | |||||
| 1 | 3 | |||||
| – | 0 | |||||
| 1 | 3 | 0 | ||||
| – | 8 | 6 | ||||
| 4 | 4 | 7 | ||||
| – | 4 | 3 | 0 | |||
| 1 | 7 | 2 | ||||
| – | 1 | 7 | 2 | |||
| 0 | ||||||
|
STEP 0: set up a division table |
||||||
| 8 | 6 | 1 | 3 | 0 | 7 | 2 |
|
STEP 1: DIVIDE 1 : 86 = 0 with a remainder of 1 |
||||||
| 0 | ||||||
| 8 | 6 | 1 | 3 | 0 | 7 | 2 |
|
STEP 2: MULTIPLY 0 · 86 = 0 |
||||||
| 0 | ||||||
| 8 | 6 | 1 | 3 | 0 | 7 | 2 |
| 0 | ||||||
|
STEP 3: SUBTRACT 1 - 0 = 1 |
||||||
| 0 | ||||||
| 8 | 6 | 1 | 3 | 0 | 7 | 2 |
| – | 0 | |||||
| 1 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 8 | 6 | 1 | 3 | 0 | 7 | 2 |
| – | 0 | |||||
| 1 | 3 | |||||
|
STEP 5: DIVIDE 13 : 86 = 0 with a remainder of 13 |
||||||
| 0 | 0 | |||||
| 8 | 6 | 1 | 3 | 0 | 7 | 2 |
| – | 0 | |||||
| 1 | 3 | |||||
|
STEP 6: MULTIPLY 0 · 86 = 0 |
||||||
| 0 | 0 | |||||
| 8 | 6 | 1 | 3 | 0 | 7 | 2 |
| – | 0 | |||||
| 1 | 3 | |||||
| 0 | ||||||
|
STEP 7: SUBTRACT 13 - 0 = 13 |
||||||
| 0 | 0 | |||||
| 8 | 6 | 1 | 3 | 0 | 7 | 2 |
| – | 0 | |||||
| 1 | 3 | |||||
| – | 0 | |||||
| 1 | 3 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 0 | |||||
| 8 | 6 | 1 | 3 | 0 | 7 | 2 |
| – | 0 | |||||
| 1 | 3 | |||||
| – | 0 | |||||
| 1 | 3 | 0 | ||||
|
STEP 9: DIVIDE 130 : 86 = 1 with a remainder of 44 |
||||||
| 0 | 0 | 1 | ||||
| 8 | 6 | 1 | 3 | 0 | 7 | 2 |
| – | 0 | |||||
| 1 | 3 | |||||
| – | 0 | |||||
| 1 | 3 | 0 | ||||
|
STEP 10: MULTIPLY 1 · 86 = 86 |
||||||
| 0 | 0 | 1 | ||||
| 8 | 6 | 1 | 3 | 0 | 7 | 2 |
| – | 0 | |||||
| 1 | 3 | |||||
| – | 0 | |||||
| 1 | 3 | 0 | ||||
| 8 | 6 | |||||
|
STEP 11: SUBTRACT 130 - 86 = 44 |
||||||
| 0 | 0 | 1 | ||||
| 8 | 6 | 1 | 3 | 0 | 7 | 2 |
| – | 0 | |||||
| 1 | 3 | |||||
| – | 0 | |||||
| 1 | 3 | 0 | ||||
| – | 8 | 6 | ||||
| 4 | 4 | |||||
| STEP 12: BRING DOWN | ||||||
| 0 | 0 | 1 | ||||
| 8 | 6 | 1 | 3 | 0 | 7 | 2 |
| – | 0 | |||||
| 1 | 3 | |||||
| – | 0 | |||||
| 1 | 3 | 0 | ||||
| – | 8 | 6 | ||||
| 4 | 4 | 7 | ||||
|
STEP 13: DIVIDE 447 : 86 = 5 with a remainder of 17 |
||||||
| 0 | 0 | 1 | 5 | |||
| 8 | 6 | 1 | 3 | 0 | 7 | 2 |
| – | 0 | |||||
| 1 | 3 | |||||
| – | 0 | |||||
| 1 | 3 | 0 | ||||
| – | 8 | 6 | ||||
| 4 | 4 | 7 | ||||
|
STEP 14: MULTIPLY 5 · 86 = 430 |
||||||
| 0 | 0 | 1 | 5 | |||
| 8 | 6 | 1 | 3 | 0 | 7 | 2 |
| – | 0 | |||||
| 1 | 3 | |||||
| – | 0 | |||||
| 1 | 3 | 0 | ||||
| – | 8 | 6 | ||||
| 4 | 4 | 7 | ||||
| 4 | 3 | 0 | ||||
|
STEP 15: SUBTRACT 447 - 430 = 17 |
||||||
| 0 | 0 | 1 | 5 | |||
| 8 | 6 | 1 | 3 | 0 | 7 | 2 |
| – | 0 | |||||
| 1 | 3 | |||||
| – | 0 | |||||
| 1 | 3 | 0 | ||||
| – | 8 | 6 | ||||
| 4 | 4 | 7 | ||||
| – | 4 | 3 | 0 | |||
| 1 | 7 | |||||
| STEP 16: BRING DOWN | ||||||
| 0 | 0 | 1 | 5 | |||
| 8 | 6 | 1 | 3 | 0 | 7 | 2 |
| – | 0 | |||||
| 1 | 3 | |||||
| – | 0 | |||||
| 1 | 3 | 0 | ||||
| – | 8 | 6 | ||||
| 4 | 4 | 7 | ||||
| – | 4 | 3 | 0 | |||
| 1 | 7 | 2 | ||||
|
STEP 17: DIVIDE 172 : 86 = 2 with a remainder of 0 |
||||||
| 0 | 0 | 1 | 5 | 2 | ||
| 8 | 6 | 1 | 3 | 0 | 7 | 2 |
| – | 0 | |||||
| 1 | 3 | |||||
| – | 0 | |||||
| 1 | 3 | 0 | ||||
| – | 8 | 6 | ||||
| 4 | 4 | 7 | ||||
| – | 4 | 3 | 0 | |||
| 1 | 7 | 2 | ||||
|
STEP 18: MULTIPLY 2 · 86 = 172 |
||||||
| 0 | 0 | 1 | 5 | 2 | ||
| 8 | 6 | 1 | 3 | 0 | 7 | 2 |
| – | 0 | |||||
| 1 | 3 | |||||
| – | 0 | |||||
| 1 | 3 | 0 | ||||
| – | 8 | 6 | ||||
| 4 | 4 | 7 | ||||
| – | 4 | 3 | 0 | |||
| 1 | 7 | 2 | ||||
| 1 | 7 | 2 | ||||
|
STEP 19: SUBTRACT 172 - 172 = 0 |
||||||
| 0 | 0 | 1 | 5 | 2 | ||
| 8 | 6 | 1 | 3 | 0 | 7 | 2 |
| – | 0 | |||||
| 1 | 3 | |||||
| – | 0 | |||||
| 1 | 3 | 0 | ||||
| – | 8 | 6 | ||||
| 4 | 4 | 7 | ||||
| – | 4 | 3 | 0 | |||
| 1 | 7 | 2 | ||||
| – | 1 | 7 | 2 | |||
| 0 | ||||||
|
STEP 19: SUBTRACT 172 - 172 = 0 |
||||||
| 0 | 0 | 1 | 5 | 2 | ||
| 8 | 6 | 1 | 3 | 0 | 7 | 2 |
| – | 0 | |||||
| 1 | 3 | |||||
| – | 0 | |||||
| 1 | 3 | 0 | ||||
| – | 8 | 6 | ||||
| 4 | 4 | 7 | ||||
| – | 4 | 3 | 0 | |||
| 1 | 7 | 2 | ||||
| – | 1 | 7 | 2 | |||
| 0 | ||||||
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