Question
What is the quotient and remainder when $ 63 $ is divided by $ 19 $ ?
Answer
The quotient is 3 and the remainder is 6.
Explanation
| Division Table | |||
| 0 | 3 | ||
| 1 | 9 | 6 | 3 |
| – | 0 | ||
| 6 | 3 | ||
| – | 5 | 7 | |
| 6 | |||
|
STEP 0: set up a division table |
|||
| 1 | 9 | 6 | 3 |
|
STEP 1: DIVIDE 6 : 19 = 0 with a remainder of 6 |
|||
| 0 | |||
| 1 | 9 | 6 | 3 |
|
STEP 2: MULTIPLY 0 · 19 = 0 |
|||
| 0 | |||
| 1 | 9 | 6 | 3 |
| 0 | |||
|
STEP 3: SUBTRACT 6 - 0 = 6 |
|||
| 0 | |||
| 1 | 9 | 6 | 3 |
| – | 0 | ||
| 6 | |||
| STEP 4: BRING DOWN | |||
| 0 | |||
| 1 | 9 | 6 | 3 |
| – | 0 | ||
| 6 | 3 | ||
|
STEP 5: DIVIDE 63 : 19 = 3 with a remainder of 6 |
|||
| 0 | 3 | ||
| 1 | 9 | 6 | 3 |
| – | 0 | ||
| 6 | 3 | ||
|
STEP 6: MULTIPLY 3 · 19 = 57 |
|||
| 0 | 3 | ||
| 1 | 9 | 6 | 3 |
| – | 0 | ||
| 6 | 3 | ||
| 5 | 7 | ||
|
STEP 7: SUBTRACT 63 - 57 = 6 |
|||
| 0 | 3 | ||
| 1 | 9 | 6 | 3 |
| – | 0 | ||
| 6 | 3 | ||
| – | 5 | 7 | |
| 6 | |||
|
STEP 7: SUBTRACT 63 - 57 = 6 |
|||
| 0 | 3 | ||
| 1 | 9 | 6 | 3 |
| – | 0 | ||
| 6 | 3 | ||
| – | 5 | 7 | |
| 6 | |||
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