Question
What is the quotient and remainder when $ 7981 $ is divided by $ 460 $ ?
Answer
The quotient is 17 and the remainder is 161.
Explanation
| Division Table | ||||||
| 0 | 0 | 1 | 7 | |||
| 4 | 6 | 0 | 7 | 9 | 8 | 1 |
| – | 0 | |||||
| 7 | 9 | |||||
| – | 0 | |||||
| 7 | 9 | 8 | ||||
| – | 4 | 6 | 0 | |||
| 3 | 3 | 8 | 1 | |||
| – | 3 | 2 | 2 | 0 | ||
| 1 | 6 | 1 | ||||
|
STEP 0: set up a division table |
||||||
| 4 | 6 | 0 | 7 | 9 | 8 | 1 |
|
STEP 1: DIVIDE 7 : 460 = 0 with a remainder of 7 |
||||||
| 0 | ||||||
| 4 | 6 | 0 | 7 | 9 | 8 | 1 |
|
STEP 2: MULTIPLY 0 · 460 = 0 |
||||||
| 0 | ||||||
| 4 | 6 | 0 | 7 | 9 | 8 | 1 |
| 0 | ||||||
|
STEP 3: SUBTRACT 7 - 0 = 7 |
||||||
| 0 | ||||||
| 4 | 6 | 0 | 7 | 9 | 8 | 1 |
| – | 0 | |||||
| 7 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 4 | 6 | 0 | 7 | 9 | 8 | 1 |
| – | 0 | |||||
| 7 | 9 | |||||
|
STEP 5: DIVIDE 79 : 460 = 0 with a remainder of 79 |
||||||
| 0 | 0 | |||||
| 4 | 6 | 0 | 7 | 9 | 8 | 1 |
| – | 0 | |||||
| 7 | 9 | |||||
|
STEP 6: MULTIPLY 0 · 460 = 0 |
||||||
| 0 | 0 | |||||
| 4 | 6 | 0 | 7 | 9 | 8 | 1 |
| – | 0 | |||||
| 7 | 9 | |||||
| 0 | ||||||
|
STEP 7: SUBTRACT 79 - 0 = 79 |
||||||
| 0 | 0 | |||||
| 4 | 6 | 0 | 7 | 9 | 8 | 1 |
| – | 0 | |||||
| 7 | 9 | |||||
| – | 0 | |||||
| 7 | 9 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 0 | |||||
| 4 | 6 | 0 | 7 | 9 | 8 | 1 |
| – | 0 | |||||
| 7 | 9 | |||||
| – | 0 | |||||
| 7 | 9 | 8 | ||||
|
STEP 9: DIVIDE 798 : 460 = 1 with a remainder of 338 |
||||||
| 0 | 0 | 1 | ||||
| 4 | 6 | 0 | 7 | 9 | 8 | 1 |
| – | 0 | |||||
| 7 | 9 | |||||
| – | 0 | |||||
| 7 | 9 | 8 | ||||
|
STEP 10: MULTIPLY 1 · 460 = 460 |
||||||
| 0 | 0 | 1 | ||||
| 4 | 6 | 0 | 7 | 9 | 8 | 1 |
| – | 0 | |||||
| 7 | 9 | |||||
| – | 0 | |||||
| 7 | 9 | 8 | ||||
| 4 | 6 | 0 | ||||
|
STEP 11: SUBTRACT 798 - 460 = 338 |
||||||
| 0 | 0 | 1 | ||||
| 4 | 6 | 0 | 7 | 9 | 8 | 1 |
| – | 0 | |||||
| 7 | 9 | |||||
| – | 0 | |||||
| 7 | 9 | 8 | ||||
| – | 4 | 6 | 0 | |||
| 3 | 3 | 8 | ||||
| STEP 12: BRING DOWN | ||||||
| 0 | 0 | 1 | ||||
| 4 | 6 | 0 | 7 | 9 | 8 | 1 |
| – | 0 | |||||
| 7 | 9 | |||||
| – | 0 | |||||
| 7 | 9 | 8 | ||||
| – | 4 | 6 | 0 | |||
| 3 | 3 | 8 | 1 | |||
|
STEP 13: DIVIDE 3381 : 460 = 7 with a remainder of 161 |
||||||
| 0 | 0 | 1 | 7 | |||
| 4 | 6 | 0 | 7 | 9 | 8 | 1 |
| – | 0 | |||||
| 7 | 9 | |||||
| – | 0 | |||||
| 7 | 9 | 8 | ||||
| – | 4 | 6 | 0 | |||
| 3 | 3 | 8 | 1 | |||
|
STEP 14: MULTIPLY 7 · 460 = 3220 |
||||||
| 0 | 0 | 1 | 7 | |||
| 4 | 6 | 0 | 7 | 9 | 8 | 1 |
| – | 0 | |||||
| 7 | 9 | |||||
| – | 0 | |||||
| 7 | 9 | 8 | ||||
| – | 4 | 6 | 0 | |||
| 3 | 3 | 8 | 1 | |||
| 3 | 2 | 2 | 0 | |||
|
STEP 15: SUBTRACT 3381 - 3220 = 161 |
||||||
| 0 | 0 | 1 | 7 | |||
| 4 | 6 | 0 | 7 | 9 | 8 | 1 |
| – | 0 | |||||
| 7 | 9 | |||||
| – | 0 | |||||
| 7 | 9 | 8 | ||||
| – | 4 | 6 | 0 | |||
| 3 | 3 | 8 | 1 | |||
| – | 3 | 2 | 2 | 0 | ||
| 1 | 6 | 1 | ||||
|
STEP 15: SUBTRACT 3381 - 3220 = 161 |
||||||
| 0 | 0 | 1 | 7 | |||
| 4 | 6 | 0 | 7 | 9 | 8 | 1 |
| – | 0 | |||||
| 7 | 9 | |||||
| – | 0 | |||||
| 7 | 9 | 8 | ||||
| – | 4 | 6 | 0 | |||
| 3 | 3 | 8 | 1 | |||
| – | 3 | 2 | 2 | 0 | ||
| 1 | 6 | 1 | ||||
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