Question
What is the quotient and remainder when $ 5194 $ is divided by $ 98 $ ?
Answer
The quotient is 53 and the remainder is 0.
Explanation
| Division Table | |||||
| 0 | 0 | 5 | 3 | ||
| 9 | 8 | 5 | 1 | 9 | 4 |
| – | 0 | ||||
| 5 | 1 | ||||
| – | 0 | ||||
| 5 | 1 | 9 | |||
| – | 4 | 9 | 0 | ||
| 2 | 9 | 4 | |||
| – | 2 | 9 | 4 | ||
| 0 | |||||
|
STEP 0: set up a division table |
|||||
| 9 | 8 | 5 | 1 | 9 | 4 |
|
STEP 1: DIVIDE 5 : 98 = 0 with a remainder of 5 |
|||||
| 0 | |||||
| 9 | 8 | 5 | 1 | 9 | 4 |
|
STEP 2: MULTIPLY 0 · 98 = 0 |
|||||
| 0 | |||||
| 9 | 8 | 5 | 1 | 9 | 4 |
| 0 | |||||
|
STEP 3: SUBTRACT 5 - 0 = 5 |
|||||
| 0 | |||||
| 9 | 8 | 5 | 1 | 9 | 4 |
| – | 0 | ||||
| 5 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 9 | 8 | 5 | 1 | 9 | 4 |
| – | 0 | ||||
| 5 | 1 | ||||
|
STEP 5: DIVIDE 51 : 98 = 0 with a remainder of 51 |
|||||
| 0 | 0 | ||||
| 9 | 8 | 5 | 1 | 9 | 4 |
| – | 0 | ||||
| 5 | 1 | ||||
|
STEP 6: MULTIPLY 0 · 98 = 0 |
|||||
| 0 | 0 | ||||
| 9 | 8 | 5 | 1 | 9 | 4 |
| – | 0 | ||||
| 5 | 1 | ||||
| 0 | |||||
|
STEP 7: SUBTRACT 51 - 0 = 51 |
|||||
| 0 | 0 | ||||
| 9 | 8 | 5 | 1 | 9 | 4 |
| – | 0 | ||||
| 5 | 1 | ||||
| – | 0 | ||||
| 5 | 1 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 0 | ||||
| 9 | 8 | 5 | 1 | 9 | 4 |
| – | 0 | ||||
| 5 | 1 | ||||
| – | 0 | ||||
| 5 | 1 | 9 | |||
|
STEP 9: DIVIDE 519 : 98 = 5 with a remainder of 29 |
|||||
| 0 | 0 | 5 | |||
| 9 | 8 | 5 | 1 | 9 | 4 |
| – | 0 | ||||
| 5 | 1 | ||||
| – | 0 | ||||
| 5 | 1 | 9 | |||
|
STEP 10: MULTIPLY 5 · 98 = 490 |
|||||
| 0 | 0 | 5 | |||
| 9 | 8 | 5 | 1 | 9 | 4 |
| – | 0 | ||||
| 5 | 1 | ||||
| – | 0 | ||||
| 5 | 1 | 9 | |||
| 4 | 9 | 0 | |||
|
STEP 11: SUBTRACT 519 - 490 = 29 |
|||||
| 0 | 0 | 5 | |||
| 9 | 8 | 5 | 1 | 9 | 4 |
| – | 0 | ||||
| 5 | 1 | ||||
| – | 0 | ||||
| 5 | 1 | 9 | |||
| – | 4 | 9 | 0 | ||
| 2 | 9 | ||||
| STEP 12: BRING DOWN | |||||
| 0 | 0 | 5 | |||
| 9 | 8 | 5 | 1 | 9 | 4 |
| – | 0 | ||||
| 5 | 1 | ||||
| – | 0 | ||||
| 5 | 1 | 9 | |||
| – | 4 | 9 | 0 | ||
| 2 | 9 | 4 | |||
|
STEP 13: DIVIDE 294 : 98 = 3 with a remainder of 0 |
|||||
| 0 | 0 | 5 | 3 | ||
| 9 | 8 | 5 | 1 | 9 | 4 |
| – | 0 | ||||
| 5 | 1 | ||||
| – | 0 | ||||
| 5 | 1 | 9 | |||
| – | 4 | 9 | 0 | ||
| 2 | 9 | 4 | |||
|
STEP 14: MULTIPLY 3 · 98 = 294 |
|||||
| 0 | 0 | 5 | 3 | ||
| 9 | 8 | 5 | 1 | 9 | 4 |
| – | 0 | ||||
| 5 | 1 | ||||
| – | 0 | ||||
| 5 | 1 | 9 | |||
| – | 4 | 9 | 0 | ||
| 2 | 9 | 4 | |||
| 2 | 9 | 4 | |||
|
STEP 15: SUBTRACT 294 - 294 = 0 |
|||||
| 0 | 0 | 5 | 3 | ||
| 9 | 8 | 5 | 1 | 9 | 4 |
| – | 0 | ||||
| 5 | 1 | ||||
| – | 0 | ||||
| 5 | 1 | 9 | |||
| – | 4 | 9 | 0 | ||
| 2 | 9 | 4 | |||
| – | 2 | 9 | 4 | ||
| 0 | |||||
|
STEP 15: SUBTRACT 294 - 294 = 0 |
|||||
| 0 | 0 | 5 | 3 | ||
| 9 | 8 | 5 | 1 | 9 | 4 |
| – | 0 | ||||
| 5 | 1 | ||||
| – | 0 | ||||
| 5 | 1 | 9 | |||
| – | 4 | 9 | 0 | ||
| 2 | 9 | 4 | |||
| – | 2 | 9 | 4 | ||
| 0 | |||||
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