Question
What is the quotient and remainder when $ 139 $ is divided by $ 13 $ ?
Answer
The quotient is 10 and the remainder is 9.
Explanation
| Division Table | ||||
| 0 | 1 | 0 | ||
| 1 | 3 | 1 | 3 | 9 |
| – | 0 | |||
| 1 | 3 | |||
| – | 1 | 3 | ||
| 9 | ||||
| – | 0 | |||
| 9 | ||||
|
STEP 0: set up a division table |
||||
| 1 | 3 | 1 | 3 | 9 |
|
STEP 1: DIVIDE 1 : 13 = 0 with a remainder of 1 |
||||
| 0 | ||||
| 1 | 3 | 1 | 3 | 9 |
|
STEP 2: MULTIPLY 0 · 13 = 0 |
||||
| 0 | ||||
| 1 | 3 | 1 | 3 | 9 |
| 0 | ||||
|
STEP 3: SUBTRACT 1 - 0 = 1 |
||||
| 0 | ||||
| 1 | 3 | 1 | 3 | 9 |
| – | 0 | |||
| 1 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 1 | 3 | 1 | 3 | 9 |
| – | 0 | |||
| 1 | 3 | |||
|
STEP 5: DIVIDE 13 : 13 = 1 with a remainder of 0 |
||||
| 0 | 1 | |||
| 1 | 3 | 1 | 3 | 9 |
| – | 0 | |||
| 1 | 3 | |||
|
STEP 6: MULTIPLY 1 · 13 = 13 |
||||
| 0 | 1 | |||
| 1 | 3 | 1 | 3 | 9 |
| – | 0 | |||
| 1 | 3 | |||
| 1 | 3 | |||
|
STEP 7: SUBTRACT 13 - 13 = 0 |
||||
| 0 | 1 | |||
| 1 | 3 | 1 | 3 | 9 |
| – | 0 | |||
| 1 | 3 | |||
| – | 1 | 3 | ||
| 0 | ||||
| STEP 8: BRING DOWN | ||||
| 0 | 1 | |||
| 1 | 3 | 1 | 3 | 9 |
| – | 0 | |||
| 1 | 3 | |||
| – | 1 | 3 | ||
| 9 | ||||
|
STEP 9: DIVIDE 9 : 13 = 0 with a remainder of 9 |
||||
| 0 | 1 | 0 | ||
| 1 | 3 | 1 | 3 | 9 |
| – | 0 | |||
| 1 | 3 | |||
| – | 1 | 3 | ||
| 9 | ||||
|
STEP 10: MULTIPLY 0 · 13 = 0 |
||||
| 0 | 1 | 0 | ||
| 1 | 3 | 1 | 3 | 9 |
| – | 0 | |||
| 1 | 3 | |||
| – | 1 | 3 | ||
| 9 | ||||
| 0 | ||||
|
STEP 11: SUBTRACT 9 - 0 = 9 |
||||
| 0 | 1 | 0 | ||
| 1 | 3 | 1 | 3 | 9 |
| – | 0 | |||
| 1 | 3 | |||
| – | 1 | 3 | ||
| 9 | ||||
| – | 0 | |||
| 9 | ||||
|
STEP 11: SUBTRACT 9 - 0 = 9 |
||||
| 0 | 1 | 0 | ||
| 1 | 3 | 1 | 3 | 9 |
| – | 0 | |||
| 1 | 3 | |||
| – | 1 | 3 | ||
| 9 | ||||
| – | 0 | |||
| 9 | ||||
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