Question
What is the quotient and remainder when $ 37 $ is divided by $ 13 $ ?
Answer
The quotient is 2 and the remainder is 11.
Explanation
| Division Table | |||
| 0 | 2 | ||
| 1 | 3 | 3 | 7 |
| – | 0 | ||
| 3 | 7 | ||
| – | 2 | 6 | |
| 1 | 1 | ||
|
STEP 0: set up a division table |
|||
| 1 | 3 | 3 | 7 |
|
STEP 1: DIVIDE 3 : 13 = 0 with a remainder of 3 |
|||
| 0 | |||
| 1 | 3 | 3 | 7 |
|
STEP 2: MULTIPLY 0 · 13 = 0 |
|||
| 0 | |||
| 1 | 3 | 3 | 7 |
| 0 | |||
|
STEP 3: SUBTRACT 3 - 0 = 3 |
|||
| 0 | |||
| 1 | 3 | 3 | 7 |
| – | 0 | ||
| 3 | |||
| STEP 4: BRING DOWN | |||
| 0 | |||
| 1 | 3 | 3 | 7 |
| – | 0 | ||
| 3 | 7 | ||
|
STEP 5: DIVIDE 37 : 13 = 2 with a remainder of 11 |
|||
| 0 | 2 | ||
| 1 | 3 | 3 | 7 |
| – | 0 | ||
| 3 | 7 | ||
|
STEP 6: MULTIPLY 2 · 13 = 26 |
|||
| 0 | 2 | ||
| 1 | 3 | 3 | 7 |
| – | 0 | ||
| 3 | 7 | ||
| 2 | 6 | ||
|
STEP 7: SUBTRACT 37 - 26 = 11 |
|||
| 0 | 2 | ||
| 1 | 3 | 3 | 7 |
| – | 0 | ||
| 3 | 7 | ||
| – | 2 | 6 | |
| 1 | 1 | ||
|
STEP 7: SUBTRACT 37 - 26 = 11 |
|||
| 0 | 2 | ||
| 1 | 3 | 3 | 7 |
| – | 0 | ||
| 3 | 7 | ||
| – | 2 | 6 | |
| 1 | 1 | ||
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