Question
What is the quotient and remainder when $ 435 $ is divided by $ 30 $ ?
Answer
The quotient is 14 and the remainder is 15.
Explanation
| Division Table | ||||
| 0 | 1 | 4 | ||
| 3 | 0 | 4 | 3 | 5 |
| – | 0 | |||
| 4 | 3 | |||
| – | 3 | 0 | ||
| 1 | 3 | 5 | ||
| – | 1 | 2 | 0 | |
| 1 | 5 | |||
|
STEP 0: set up a division table |
||||
| 3 | 0 | 4 | 3 | 5 |
|
STEP 1: DIVIDE 4 : 30 = 0 with a remainder of 4 |
||||
| 0 | ||||
| 3 | 0 | 4 | 3 | 5 |
|
STEP 2: MULTIPLY 0 · 30 = 0 |
||||
| 0 | ||||
| 3 | 0 | 4 | 3 | 5 |
| 0 | ||||
|
STEP 3: SUBTRACT 4 - 0 = 4 |
||||
| 0 | ||||
| 3 | 0 | 4 | 3 | 5 |
| – | 0 | |||
| 4 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 3 | 0 | 4 | 3 | 5 |
| – | 0 | |||
| 4 | 3 | |||
|
STEP 5: DIVIDE 43 : 30 = 1 with a remainder of 13 |
||||
| 0 | 1 | |||
| 3 | 0 | 4 | 3 | 5 |
| – | 0 | |||
| 4 | 3 | |||
|
STEP 6: MULTIPLY 1 · 30 = 30 |
||||
| 0 | 1 | |||
| 3 | 0 | 4 | 3 | 5 |
| – | 0 | |||
| 4 | 3 | |||
| 3 | 0 | |||
|
STEP 7: SUBTRACT 43 - 30 = 13 |
||||
| 0 | 1 | |||
| 3 | 0 | 4 | 3 | 5 |
| – | 0 | |||
| 4 | 3 | |||
| – | 3 | 0 | ||
| 1 | 3 | |||
| STEP 8: BRING DOWN | ||||
| 0 | 1 | |||
| 3 | 0 | 4 | 3 | 5 |
| – | 0 | |||
| 4 | 3 | |||
| – | 3 | 0 | ||
| 1 | 3 | 5 | ||
|
STEP 9: DIVIDE 135 : 30 = 4 with a remainder of 15 |
||||
| 0 | 1 | 4 | ||
| 3 | 0 | 4 | 3 | 5 |
| – | 0 | |||
| 4 | 3 | |||
| – | 3 | 0 | ||
| 1 | 3 | 5 | ||
|
STEP 10: MULTIPLY 4 · 30 = 120 |
||||
| 0 | 1 | 4 | ||
| 3 | 0 | 4 | 3 | 5 |
| – | 0 | |||
| 4 | 3 | |||
| – | 3 | 0 | ||
| 1 | 3 | 5 | ||
| 1 | 2 | 0 | ||
|
STEP 11: SUBTRACT 135 - 120 = 15 |
||||
| 0 | 1 | 4 | ||
| 3 | 0 | 4 | 3 | 5 |
| – | 0 | |||
| 4 | 3 | |||
| – | 3 | 0 | ||
| 1 | 3 | 5 | ||
| – | 1 | 2 | 0 | |
| 1 | 5 | |||
|
STEP 11: SUBTRACT 135 - 120 = 15 |
||||
| 0 | 1 | 4 | ||
| 3 | 0 | 4 | 3 | 5 |
| – | 0 | |||
| 4 | 3 | |||
| – | 3 | 0 | ||
| 1 | 3 | 5 | ||
| – | 1 | 2 | 0 | |
| 1 | 5 | |||
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