Question
What is the quotient and remainder when $ 150 $ is divided by $ 30 $ ?
Answer
The quotient is 5 and the remainder is 0.
Explanation
| Division Table | ||||
| 0 | 0 | 5 | ||
| 3 | 0 | 1 | 5 | 0 |
| – | 0 | |||
| 1 | 5 | |||
| – | 0 | |||
| 1 | 5 | 0 | ||
| – | 1 | 5 | 0 | |
| 0 | ||||
|
STEP 0: set up a division table |
||||
| 3 | 0 | 1 | 5 | 0 |
|
STEP 1: DIVIDE 1 : 30 = 0 with a remainder of 1 |
||||
| 0 | ||||
| 3 | 0 | 1 | 5 | 0 |
|
STEP 2: MULTIPLY 0 · 30 = 0 |
||||
| 0 | ||||
| 3 | 0 | 1 | 5 | 0 |
| 0 | ||||
|
STEP 3: SUBTRACT 1 - 0 = 1 |
||||
| 0 | ||||
| 3 | 0 | 1 | 5 | 0 |
| – | 0 | |||
| 1 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 3 | 0 | 1 | 5 | 0 |
| – | 0 | |||
| 1 | 5 | |||
|
STEP 5: DIVIDE 15 : 30 = 0 with a remainder of 15 |
||||
| 0 | 0 | |||
| 3 | 0 | 1 | 5 | 0 |
| – | 0 | |||
| 1 | 5 | |||
|
STEP 6: MULTIPLY 0 · 30 = 0 |
||||
| 0 | 0 | |||
| 3 | 0 | 1 | 5 | 0 |
| – | 0 | |||
| 1 | 5 | |||
| 0 | ||||
|
STEP 7: SUBTRACT 15 - 0 = 15 |
||||
| 0 | 0 | |||
| 3 | 0 | 1 | 5 | 0 |
| – | 0 | |||
| 1 | 5 | |||
| – | 0 | |||
| 1 | 5 | |||
| STEP 8: BRING DOWN | ||||
| 0 | 0 | |||
| 3 | 0 | 1 | 5 | 0 |
| – | 0 | |||
| 1 | 5 | |||
| – | 0 | |||
| 1 | 5 | 0 | ||
|
STEP 9: DIVIDE 150 : 30 = 5 with a remainder of 0 |
||||
| 0 | 0 | 5 | ||
| 3 | 0 | 1 | 5 | 0 |
| – | 0 | |||
| 1 | 5 | |||
| – | 0 | |||
| 1 | 5 | 0 | ||
|
STEP 10: MULTIPLY 5 · 30 = 150 |
||||
| 0 | 0 | 5 | ||
| 3 | 0 | 1 | 5 | 0 |
| – | 0 | |||
| 1 | 5 | |||
| – | 0 | |||
| 1 | 5 | 0 | ||
| 1 | 5 | 0 | ||
|
STEP 11: SUBTRACT 150 - 150 = 0 |
||||
| 0 | 0 | 5 | ||
| 3 | 0 | 1 | 5 | 0 |
| – | 0 | |||
| 1 | 5 | |||
| – | 0 | |||
| 1 | 5 | 0 | ||
| – | 1 | 5 | 0 | |
| 0 | ||||
|
STEP 11: SUBTRACT 150 - 150 = 0 |
||||
| 0 | 0 | 5 | ||
| 3 | 0 | 1 | 5 | 0 |
| – | 0 | |||
| 1 | 5 | |||
| – | 0 | |||
| 1 | 5 | 0 | ||
| – | 1 | 5 | 0 | |
| 0 | ||||
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