Question
What is the quotient and remainder when $ 87 $ is divided by $ 13 $ ?
Answer
The quotient is 6 and the remainder is 9.
Explanation
| Division Table | |||
| 0 | 6 | ||
| 1 | 3 | 8 | 7 |
| – | 0 | ||
| 8 | 7 | ||
| – | 7 | 8 | |
| 9 | |||
|
STEP 0: set up a division table |
|||
| 1 | 3 | 8 | 7 |
|
STEP 1: DIVIDE 8 : 13 = 0 with a remainder of 8 |
|||
| 0 | |||
| 1 | 3 | 8 | 7 |
|
STEP 2: MULTIPLY 0 · 13 = 0 |
|||
| 0 | |||
| 1 | 3 | 8 | 7 |
| 0 | |||
|
STEP 3: SUBTRACT 8 - 0 = 8 |
|||
| 0 | |||
| 1 | 3 | 8 | 7 |
| – | 0 | ||
| 8 | |||
| STEP 4: BRING DOWN | |||
| 0 | |||
| 1 | 3 | 8 | 7 |
| – | 0 | ||
| 8 | 7 | ||
|
STEP 5: DIVIDE 87 : 13 = 6 with a remainder of 9 |
|||
| 0 | 6 | ||
| 1 | 3 | 8 | 7 |
| – | 0 | ||
| 8 | 7 | ||
|
STEP 6: MULTIPLY 6 · 13 = 78 |
|||
| 0 | 6 | ||
| 1 | 3 | 8 | 7 |
| – | 0 | ||
| 8 | 7 | ||
| 7 | 8 | ||
|
STEP 7: SUBTRACT 87 - 78 = 9 |
|||
| 0 | 6 | ||
| 1 | 3 | 8 | 7 |
| – | 0 | ||
| 8 | 7 | ||
| – | 7 | 8 | |
| 9 | |||
|
STEP 7: SUBTRACT 87 - 78 = 9 |
|||
| 0 | 6 | ||
| 1 | 3 | 8 | 7 |
| – | 0 | ||
| 8 | 7 | ||
| – | 7 | 8 | |
| 9 | |||
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