Question
What is the quotient and remainder when $ 108 $ is divided by $ 13 $ ?
Answer
The quotient is 8 and the remainder is 4.
Explanation
| Division Table | ||||
| 0 | 0 | 8 | ||
| 1 | 3 | 1 | 0 | 8 |
| – | 0 | |||
| 1 | 0 | |||
| – | 0 | |||
| 1 | 0 | 8 | ||
| – | 1 | 0 | 4 | |
| 4 | ||||
|
STEP 0: set up a division table |
||||
| 1 | 3 | 1 | 0 | 8 |
|
STEP 1: DIVIDE 1 : 13 = 0 with a remainder of 1 |
||||
| 0 | ||||
| 1 | 3 | 1 | 0 | 8 |
|
STEP 2: MULTIPLY 0 · 13 = 0 |
||||
| 0 | ||||
| 1 | 3 | 1 | 0 | 8 |
| 0 | ||||
|
STEP 3: SUBTRACT 1 - 0 = 1 |
||||
| 0 | ||||
| 1 | 3 | 1 | 0 | 8 |
| – | 0 | |||
| 1 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 1 | 3 | 1 | 0 | 8 |
| – | 0 | |||
| 1 | 0 | |||
|
STEP 5: DIVIDE 10 : 13 = 0 with a remainder of 10 |
||||
| 0 | 0 | |||
| 1 | 3 | 1 | 0 | 8 |
| – | 0 | |||
| 1 | 0 | |||
|
STEP 6: MULTIPLY 0 · 13 = 0 |
||||
| 0 | 0 | |||
| 1 | 3 | 1 | 0 | 8 |
| – | 0 | |||
| 1 | 0 | |||
| 0 | ||||
|
STEP 7: SUBTRACT 10 - 0 = 10 |
||||
| 0 | 0 | |||
| 1 | 3 | 1 | 0 | 8 |
| – | 0 | |||
| 1 | 0 | |||
| – | 0 | |||
| 1 | 0 | |||
| STEP 8: BRING DOWN | ||||
| 0 | 0 | |||
| 1 | 3 | 1 | 0 | 8 |
| – | 0 | |||
| 1 | 0 | |||
| – | 0 | |||
| 1 | 0 | 8 | ||
|
STEP 9: DIVIDE 108 : 13 = 8 with a remainder of 4 |
||||
| 0 | 0 | 8 | ||
| 1 | 3 | 1 | 0 | 8 |
| – | 0 | |||
| 1 | 0 | |||
| – | 0 | |||
| 1 | 0 | 8 | ||
|
STEP 10: MULTIPLY 8 · 13 = 104 |
||||
| 0 | 0 | 8 | ||
| 1 | 3 | 1 | 0 | 8 |
| – | 0 | |||
| 1 | 0 | |||
| – | 0 | |||
| 1 | 0 | 8 | ||
| 1 | 0 | 4 | ||
|
STEP 11: SUBTRACT 108 - 104 = 4 |
||||
| 0 | 0 | 8 | ||
| 1 | 3 | 1 | 0 | 8 |
| – | 0 | |||
| 1 | 0 | |||
| – | 0 | |||
| 1 | 0 | 8 | ||
| – | 1 | 0 | 4 | |
| 4 | ||||
|
STEP 11: SUBTRACT 108 - 104 = 4 |
||||
| 0 | 0 | 8 | ||
| 1 | 3 | 1 | 0 | 8 |
| – | 0 | |||
| 1 | 0 | |||
| – | 0 | |||
| 1 | 0 | 8 | ||
| – | 1 | 0 | 4 | |
| 4 | ||||
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