Question
What is the quotient and remainder when $ 525 $ is divided by $ 15 $ ?
Answer
The quotient is 35 and the remainder is 0.
Explanation
| Division Table | ||||
| 0 | 3 | 5 | ||
| 1 | 5 | 5 | 2 | 5 |
| – | 0 | |||
| 5 | 2 | |||
| – | 4 | 5 | ||
| 7 | 5 | |||
| – | 7 | 5 | ||
| 0 | ||||
|
STEP 0: set up a division table |
||||
| 1 | 5 | 5 | 2 | 5 |
|
STEP 1: DIVIDE 5 : 15 = 0 with a remainder of 5 |
||||
| 0 | ||||
| 1 | 5 | 5 | 2 | 5 |
|
STEP 2: MULTIPLY 0 · 15 = 0 |
||||
| 0 | ||||
| 1 | 5 | 5 | 2 | 5 |
| 0 | ||||
|
STEP 3: SUBTRACT 5 - 0 = 5 |
||||
| 0 | ||||
| 1 | 5 | 5 | 2 | 5 |
| – | 0 | |||
| 5 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 1 | 5 | 5 | 2 | 5 |
| – | 0 | |||
| 5 | 2 | |||
|
STEP 5: DIVIDE 52 : 15 = 3 with a remainder of 7 |
||||
| 0 | 3 | |||
| 1 | 5 | 5 | 2 | 5 |
| – | 0 | |||
| 5 | 2 | |||
|
STEP 6: MULTIPLY 3 · 15 = 45 |
||||
| 0 | 3 | |||
| 1 | 5 | 5 | 2 | 5 |
| – | 0 | |||
| 5 | 2 | |||
| 4 | 5 | |||
|
STEP 7: SUBTRACT 52 - 45 = 7 |
||||
| 0 | 3 | |||
| 1 | 5 | 5 | 2 | 5 |
| – | 0 | |||
| 5 | 2 | |||
| – | 4 | 5 | ||
| 7 | ||||
| STEP 8: BRING DOWN | ||||
| 0 | 3 | |||
| 1 | 5 | 5 | 2 | 5 |
| – | 0 | |||
| 5 | 2 | |||
| – | 4 | 5 | ||
| 7 | 5 | |||
|
STEP 9: DIVIDE 75 : 15 = 5 with a remainder of 0 |
||||
| 0 | 3 | 5 | ||
| 1 | 5 | 5 | 2 | 5 |
| – | 0 | |||
| 5 | 2 | |||
| – | 4 | 5 | ||
| 7 | 5 | |||
|
STEP 10: MULTIPLY 5 · 15 = 75 |
||||
| 0 | 3 | 5 | ||
| 1 | 5 | 5 | 2 | 5 |
| – | 0 | |||
| 5 | 2 | |||
| – | 4 | 5 | ||
| 7 | 5 | |||
| 7 | 5 | |||
|
STEP 11: SUBTRACT 75 - 75 = 0 |
||||
| 0 | 3 | 5 | ||
| 1 | 5 | 5 | 2 | 5 |
| – | 0 | |||
| 5 | 2 | |||
| – | 4 | 5 | ||
| 7 | 5 | |||
| – | 7 | 5 | ||
| 0 | ||||
|
STEP 11: SUBTRACT 75 - 75 = 0 |
||||
| 0 | 3 | 5 | ||
| 1 | 5 | 5 | 2 | 5 |
| – | 0 | |||
| 5 | 2 | |||
| – | 4 | 5 | ||
| 7 | 5 | |||
| – | 7 | 5 | ||
| 0 | ||||
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