Question
What is the quotient and remainder when $ 395 $ is divided by $ 30 $ ?
Answer
The quotient is 13 and the remainder is 5.
Explanation
| Division Table | ||||
| 0 | 1 | 3 | ||
| 3 | 0 | 3 | 9 | 5 |
| – | 0 | |||
| 3 | 9 | |||
| – | 3 | 0 | ||
| 9 | 5 | |||
| – | 9 | 0 | ||
| 5 | ||||
|
STEP 0: set up a division table |
||||
| 3 | 0 | 3 | 9 | 5 |
|
STEP 1: DIVIDE 3 : 30 = 0 with a remainder of 3 |
||||
| 0 | ||||
| 3 | 0 | 3 | 9 | 5 |
|
STEP 2: MULTIPLY 0 · 30 = 0 |
||||
| 0 | ||||
| 3 | 0 | 3 | 9 | 5 |
| 0 | ||||
|
STEP 3: SUBTRACT 3 - 0 = 3 |
||||
| 0 | ||||
| 3 | 0 | 3 | 9 | 5 |
| – | 0 | |||
| 3 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 3 | 0 | 3 | 9 | 5 |
| – | 0 | |||
| 3 | 9 | |||
|
STEP 5: DIVIDE 39 : 30 = 1 with a remainder of 9 |
||||
| 0 | 1 | |||
| 3 | 0 | 3 | 9 | 5 |
| – | 0 | |||
| 3 | 9 | |||
|
STEP 6: MULTIPLY 1 · 30 = 30 |
||||
| 0 | 1 | |||
| 3 | 0 | 3 | 9 | 5 |
| – | 0 | |||
| 3 | 9 | |||
| 3 | 0 | |||
|
STEP 7: SUBTRACT 39 - 30 = 9 |
||||
| 0 | 1 | |||
| 3 | 0 | 3 | 9 | 5 |
| – | 0 | |||
| 3 | 9 | |||
| – | 3 | 0 | ||
| 9 | ||||
| STEP 8: BRING DOWN | ||||
| 0 | 1 | |||
| 3 | 0 | 3 | 9 | 5 |
| – | 0 | |||
| 3 | 9 | |||
| – | 3 | 0 | ||
| 9 | 5 | |||
|
STEP 9: DIVIDE 95 : 30 = 3 with a remainder of 5 |
||||
| 0 | 1 | 3 | ||
| 3 | 0 | 3 | 9 | 5 |
| – | 0 | |||
| 3 | 9 | |||
| – | 3 | 0 | ||
| 9 | 5 | |||
|
STEP 10: MULTIPLY 3 · 30 = 90 |
||||
| 0 | 1 | 3 | ||
| 3 | 0 | 3 | 9 | 5 |
| – | 0 | |||
| 3 | 9 | |||
| – | 3 | 0 | ||
| 9 | 5 | |||
| 9 | 0 | |||
|
STEP 11: SUBTRACT 95 - 90 = 5 |
||||
| 0 | 1 | 3 | ||
| 3 | 0 | 3 | 9 | 5 |
| – | 0 | |||
| 3 | 9 | |||
| – | 3 | 0 | ||
| 9 | 5 | |||
| – | 9 | 0 | ||
| 5 | ||||
|
STEP 11: SUBTRACT 95 - 90 = 5 |
||||
| 0 | 1 | 3 | ||
| 3 | 0 | 3 | 9 | 5 |
| – | 0 | |||
| 3 | 9 | |||
| – | 3 | 0 | ||
| 9 | 5 | |||
| – | 9 | 0 | ||
| 5 | ||||
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