Question
What is the quotient and remainder when $ 551 $ is divided by $ 91 $ ?
Answer
The quotient is 6 and the remainder is 5.
Explanation
| Division Table | ||||
| 0 | 0 | 6 | ||
| 9 | 1 | 5 | 5 | 1 |
| – | 0 | |||
| 5 | 5 | |||
| – | 0 | |||
| 5 | 5 | 1 | ||
| – | 5 | 4 | 6 | |
| 5 | ||||
|
STEP 0: set up a division table |
||||
| 9 | 1 | 5 | 5 | 1 |
|
STEP 1: DIVIDE 5 : 91 = 0 with a remainder of 5 |
||||
| 0 | ||||
| 9 | 1 | 5 | 5 | 1 |
|
STEP 2: MULTIPLY 0 · 91 = 0 |
||||
| 0 | ||||
| 9 | 1 | 5 | 5 | 1 |
| 0 | ||||
|
STEP 3: SUBTRACT 5 - 0 = 5 |
||||
| 0 | ||||
| 9 | 1 | 5 | 5 | 1 |
| – | 0 | |||
| 5 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 9 | 1 | 5 | 5 | 1 |
| – | 0 | |||
| 5 | 5 | |||
|
STEP 5: DIVIDE 55 : 91 = 0 with a remainder of 55 |
||||
| 0 | 0 | |||
| 9 | 1 | 5 | 5 | 1 |
| – | 0 | |||
| 5 | 5 | |||
|
STEP 6: MULTIPLY 0 · 91 = 0 |
||||
| 0 | 0 | |||
| 9 | 1 | 5 | 5 | 1 |
| – | 0 | |||
| 5 | 5 | |||
| 0 | ||||
|
STEP 7: SUBTRACT 55 - 0 = 55 |
||||
| 0 | 0 | |||
| 9 | 1 | 5 | 5 | 1 |
| – | 0 | |||
| 5 | 5 | |||
| – | 0 | |||
| 5 | 5 | |||
| STEP 8: BRING DOWN | ||||
| 0 | 0 | |||
| 9 | 1 | 5 | 5 | 1 |
| – | 0 | |||
| 5 | 5 | |||
| – | 0 | |||
| 5 | 5 | 1 | ||
|
STEP 9: DIVIDE 551 : 91 = 6 with a remainder of 5 |
||||
| 0 | 0 | 6 | ||
| 9 | 1 | 5 | 5 | 1 |
| – | 0 | |||
| 5 | 5 | |||
| – | 0 | |||
| 5 | 5 | 1 | ||
|
STEP 10: MULTIPLY 6 · 91 = 546 |
||||
| 0 | 0 | 6 | ||
| 9 | 1 | 5 | 5 | 1 |
| – | 0 | |||
| 5 | 5 | |||
| – | 0 | |||
| 5 | 5 | 1 | ||
| 5 | 4 | 6 | ||
|
STEP 11: SUBTRACT 551 - 546 = 5 |
||||
| 0 | 0 | 6 | ||
| 9 | 1 | 5 | 5 | 1 |
| – | 0 | |||
| 5 | 5 | |||
| – | 0 | |||
| 5 | 5 | 1 | ||
| – | 5 | 4 | 6 | |
| 5 | ||||
|
STEP 11: SUBTRACT 551 - 546 = 5 |
||||
| 0 | 0 | 6 | ||
| 9 | 1 | 5 | 5 | 1 |
| – | 0 | |||
| 5 | 5 | |||
| – | 0 | |||
| 5 | 5 | 1 | ||
| – | 5 | 4 | 6 | |
| 5 | ||||
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