Question
What is the quotient and remainder when $ 135 $ is divided by $ 19 $ ?
Answer
The quotient is 7 and the remainder is 2.
Explanation
| Division Table | ||||
| 0 | 0 | 7 | ||
| 1 | 9 | 1 | 3 | 5 |
| – | 0 | |||
| 1 | 3 | |||
| – | 0 | |||
| 1 | 3 | 5 | ||
| – | 1 | 3 | 3 | |
| 2 | ||||
|
STEP 0: set up a division table |
||||
| 1 | 9 | 1 | 3 | 5 |
|
STEP 1: DIVIDE 1 : 19 = 0 with a remainder of 1 |
||||
| 0 | ||||
| 1 | 9 | 1 | 3 | 5 |
|
STEP 2: MULTIPLY 0 · 19 = 0 |
||||
| 0 | ||||
| 1 | 9 | 1 | 3 | 5 |
| 0 | ||||
|
STEP 3: SUBTRACT 1 - 0 = 1 |
||||
| 0 | ||||
| 1 | 9 | 1 | 3 | 5 |
| – | 0 | |||
| 1 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 1 | 9 | 1 | 3 | 5 |
| – | 0 | |||
| 1 | 3 | |||
|
STEP 5: DIVIDE 13 : 19 = 0 with a remainder of 13 |
||||
| 0 | 0 | |||
| 1 | 9 | 1 | 3 | 5 |
| – | 0 | |||
| 1 | 3 | |||
|
STEP 6: MULTIPLY 0 · 19 = 0 |
||||
| 0 | 0 | |||
| 1 | 9 | 1 | 3 | 5 |
| – | 0 | |||
| 1 | 3 | |||
| 0 | ||||
|
STEP 7: SUBTRACT 13 - 0 = 13 |
||||
| 0 | 0 | |||
| 1 | 9 | 1 | 3 | 5 |
| – | 0 | |||
| 1 | 3 | |||
| – | 0 | |||
| 1 | 3 | |||
| STEP 8: BRING DOWN | ||||
| 0 | 0 | |||
| 1 | 9 | 1 | 3 | 5 |
| – | 0 | |||
| 1 | 3 | |||
| – | 0 | |||
| 1 | 3 | 5 | ||
|
STEP 9: DIVIDE 135 : 19 = 7 with a remainder of 2 |
||||
| 0 | 0 | 7 | ||
| 1 | 9 | 1 | 3 | 5 |
| – | 0 | |||
| 1 | 3 | |||
| – | 0 | |||
| 1 | 3 | 5 | ||
|
STEP 10: MULTIPLY 7 · 19 = 133 |
||||
| 0 | 0 | 7 | ||
| 1 | 9 | 1 | 3 | 5 |
| – | 0 | |||
| 1 | 3 | |||
| – | 0 | |||
| 1 | 3 | 5 | ||
| 1 | 3 | 3 | ||
|
STEP 11: SUBTRACT 135 - 133 = 2 |
||||
| 0 | 0 | 7 | ||
| 1 | 9 | 1 | 3 | 5 |
| – | 0 | |||
| 1 | 3 | |||
| – | 0 | |||
| 1 | 3 | 5 | ||
| – | 1 | 3 | 3 | |
| 2 | ||||
|
STEP 11: SUBTRACT 135 - 133 = 2 |
||||
| 0 | 0 | 7 | ||
| 1 | 9 | 1 | 3 | 5 |
| – | 0 | |||
| 1 | 3 | |||
| – | 0 | |||
| 1 | 3 | 5 | ||
| – | 1 | 3 | 3 | |
| 2 | ||||
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