Question
What is the quotient and remainder when $ 97 $ is divided by $ 13 $ ?
Answer
The quotient is 7 and the remainder is 6.
Explanation
| Division Table | |||
| 0 | 7 | ||
| 1 | 3 | 9 | 7 |
| – | 0 | ||
| 9 | 7 | ||
| – | 9 | 1 | |
| 6 | |||
|
STEP 0: set up a division table |
|||
| 1 | 3 | 9 | 7 |
|
STEP 1: DIVIDE 9 : 13 = 0 with a remainder of 9 |
|||
| 0 | |||
| 1 | 3 | 9 | 7 |
|
STEP 2: MULTIPLY 0 · 13 = 0 |
|||
| 0 | |||
| 1 | 3 | 9 | 7 |
| 0 | |||
|
STEP 3: SUBTRACT 9 - 0 = 9 |
|||
| 0 | |||
| 1 | 3 | 9 | 7 |
| – | 0 | ||
| 9 | |||
| STEP 4: BRING DOWN | |||
| 0 | |||
| 1 | 3 | 9 | 7 |
| – | 0 | ||
| 9 | 7 | ||
|
STEP 5: DIVIDE 97 : 13 = 7 with a remainder of 6 |
|||
| 0 | 7 | ||
| 1 | 3 | 9 | 7 |
| – | 0 | ||
| 9 | 7 | ||
|
STEP 6: MULTIPLY 7 · 13 = 91 |
|||
| 0 | 7 | ||
| 1 | 3 | 9 | 7 |
| – | 0 | ||
| 9 | 7 | ||
| 9 | 1 | ||
|
STEP 7: SUBTRACT 97 - 91 = 6 |
|||
| 0 | 7 | ||
| 1 | 3 | 9 | 7 |
| – | 0 | ||
| 9 | 7 | ||
| – | 9 | 1 | |
| 6 | |||
|
STEP 7: SUBTRACT 97 - 91 = 6 |
|||
| 0 | 7 | ||
| 1 | 3 | 9 | 7 |
| – | 0 | ||
| 9 | 7 | ||
| – | 9 | 1 | |
| 6 | |||
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