Question
What is the quotient and remainder when $ 56 $ is divided by $ 13 $ ?
Answer
The quotient is 4 and the remainder is 4.
Explanation
| Division Table | |||
| 0 | 4 | ||
| 1 | 3 | 5 | 6 |
| – | 0 | ||
| 5 | 6 | ||
| – | 5 | 2 | |
| 4 | |||
|
STEP 0: set up a division table |
|||
| 1 | 3 | 5 | 6 |
|
STEP 1: DIVIDE 5 : 13 = 0 with a remainder of 5 |
|||
| 0 | |||
| 1 | 3 | 5 | 6 |
|
STEP 2: MULTIPLY 0 · 13 = 0 |
|||
| 0 | |||
| 1 | 3 | 5 | 6 |
| 0 | |||
|
STEP 3: SUBTRACT 5 - 0 = 5 |
|||
| 0 | |||
| 1 | 3 | 5 | 6 |
| – | 0 | ||
| 5 | |||
| STEP 4: BRING DOWN | |||
| 0 | |||
| 1 | 3 | 5 | 6 |
| – | 0 | ||
| 5 | 6 | ||
|
STEP 5: DIVIDE 56 : 13 = 4 with a remainder of 4 |
|||
| 0 | 4 | ||
| 1 | 3 | 5 | 6 |
| – | 0 | ||
| 5 | 6 | ||
|
STEP 6: MULTIPLY 4 · 13 = 52 |
|||
| 0 | 4 | ||
| 1 | 3 | 5 | 6 |
| – | 0 | ||
| 5 | 6 | ||
| 5 | 2 | ||
|
STEP 7: SUBTRACT 56 - 52 = 4 |
|||
| 0 | 4 | ||
| 1 | 3 | 5 | 6 |
| – | 0 | ||
| 5 | 6 | ||
| – | 5 | 2 | |
| 4 | |||
|
STEP 7: SUBTRACT 56 - 52 = 4 |
|||
| 0 | 4 | ||
| 1 | 3 | 5 | 6 |
| – | 0 | ||
| 5 | 6 | ||
| – | 5 | 2 | |
| 4 | |||
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