Question
What is the quotient and remainder when $ 473 $ is divided by $ 15 $ ?
Answer
The quotient is 31 and the remainder is 8.
Explanation
| Division Table | ||||
| 0 | 3 | 1 | ||
| 1 | 5 | 4 | 7 | 3 |
| – | 0 | |||
| 4 | 7 | |||
| – | 4 | 5 | ||
| 2 | 3 | |||
| – | 1 | 5 | ||
| 8 | ||||
|
STEP 0: set up a division table |
||||
| 1 | 5 | 4 | 7 | 3 |
|
STEP 1: DIVIDE 4 : 15 = 0 with a remainder of 4 |
||||
| 0 | ||||
| 1 | 5 | 4 | 7 | 3 |
|
STEP 2: MULTIPLY 0 · 15 = 0 |
||||
| 0 | ||||
| 1 | 5 | 4 | 7 | 3 |
| 0 | ||||
|
STEP 3: SUBTRACT 4 - 0 = 4 |
||||
| 0 | ||||
| 1 | 5 | 4 | 7 | 3 |
| – | 0 | |||
| 4 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 1 | 5 | 4 | 7 | 3 |
| – | 0 | |||
| 4 | 7 | |||
|
STEP 5: DIVIDE 47 : 15 = 3 with a remainder of 2 |
||||
| 0 | 3 | |||
| 1 | 5 | 4 | 7 | 3 |
| – | 0 | |||
| 4 | 7 | |||
|
STEP 6: MULTIPLY 3 · 15 = 45 |
||||
| 0 | 3 | |||
| 1 | 5 | 4 | 7 | 3 |
| – | 0 | |||
| 4 | 7 | |||
| 4 | 5 | |||
|
STEP 7: SUBTRACT 47 - 45 = 2 |
||||
| 0 | 3 | |||
| 1 | 5 | 4 | 7 | 3 |
| – | 0 | |||
| 4 | 7 | |||
| – | 4 | 5 | ||
| 2 | ||||
| STEP 8: BRING DOWN | ||||
| 0 | 3 | |||
| 1 | 5 | 4 | 7 | 3 |
| – | 0 | |||
| 4 | 7 | |||
| – | 4 | 5 | ||
| 2 | 3 | |||
|
STEP 9: DIVIDE 23 : 15 = 1 with a remainder of 8 |
||||
| 0 | 3 | 1 | ||
| 1 | 5 | 4 | 7 | 3 |
| – | 0 | |||
| 4 | 7 | |||
| – | 4 | 5 | ||
| 2 | 3 | |||
|
STEP 10: MULTIPLY 1 · 15 = 15 |
||||
| 0 | 3 | 1 | ||
| 1 | 5 | 4 | 7 | 3 |
| – | 0 | |||
| 4 | 7 | |||
| – | 4 | 5 | ||
| 2 | 3 | |||
| 1 | 5 | |||
|
STEP 11: SUBTRACT 23 - 15 = 8 |
||||
| 0 | 3 | 1 | ||
| 1 | 5 | 4 | 7 | 3 |
| – | 0 | |||
| 4 | 7 | |||
| – | 4 | 5 | ||
| 2 | 3 | |||
| – | 1 | 5 | ||
| 8 | ||||
|
STEP 11: SUBTRACT 23 - 15 = 8 |
||||
| 0 | 3 | 1 | ||
| 1 | 5 | 4 | 7 | 3 |
| – | 0 | |||
| 4 | 7 | |||
| – | 4 | 5 | ||
| 2 | 3 | |||
| – | 1 | 5 | ||
| 8 | ||||
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