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Question
What is the quotient and remainder when $ 624 $ is divided by $ 30 $ ?
Answer
The quotient is 20 and the remainder is 24.
Explanation
|
Division Table
|
| | | 0 | 2 | 0 |
| 3 | 0 | 6 | 2 | 4 |
| | – | 0 | | |
| | | 6 | 2 | |
| | – | 6 | 0 | |
| | | | 2 | 4 |
| | | | – | 0 |
| | | | 2 | 4 |
STEP 0: set up a division table
|
| | | | | |
| 3 | 0 | 6 | 2 | 4 |
STEP 1: DIVIDE 6 : 30 = 0 with a remainder of 6
|
| | | 0 | | |
| 3 | 0 | 6 | 2 | 4 |
STEP 2: MULTIPLY 0 · 30 = 0
|
| | | 0 | | |
| 3 | 0 | 6 | 2 | 4 |
| | | 0 | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | | 0 | | |
| 3 | 0 | 6 | 2 | 4 |
| | – | 0 | | |
| | | 6 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 3 | 0 | 6 | 2 | 4 |
| | – | 0 | | |
| | | 6 | 2 | |
STEP 5: DIVIDE 62 : 30 = 2 with a remainder of 2
|
| | | 0 | 2 | |
| 3 | 0 | 6 | 2 | 4 |
| | – | 0 | | |
| | | 6 | 2 | |
STEP 6: MULTIPLY 2 · 30 = 60
|
| | | 0 | 2 | |
| 3 | 0 | 6 | 2 | 4 |
| | – | 0 | | |
| | | 6 | 2 | |
| | | 6 | 0 | |
STEP 7: SUBTRACT 62 - 60 = 2
|
| | | 0 | 2 | |
| 3 | 0 | 6 | 2 | 4 |
| | – | 0 | | |
| | | 6 | 2 | |
| | – | 6 | 0 | |
| | | | 2 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 2 | |
| 3 | 0 | 6 | 2 | 4 |
| | – | 0 | | |
| | | 6 | 2 | |
| | – | 6 | 0 | |
| | | | 2 | 4 |
STEP 9: DIVIDE 24 : 30 = 0 with a remainder of 24
|
| | | 0 | 2 | 0 |
| 3 | 0 | 6 | 2 | 4 |
| | – | 0 | | |
| | | 6 | 2 | |
| | – | 6 | 0 | |
| | | | 2 | 4 |
STEP 10: MULTIPLY 0 · 30 = 0
|
| | | 0 | 2 | 0 |
| 3 | 0 | 6 | 2 | 4 |
| | – | 0 | | |
| | | 6 | 2 | |
| | – | 6 | 0 | |
| | | | 2 | 4 |
| | | | | 0 |
STEP 11: SUBTRACT 24 - 0 = 24
|
| | | 0 | 2 | 0 |
| 3 | 0 | 6 | 2 | 4 |
| | – | 0 | | |
| | | 6 | 2 | |
| | – | 6 | 0 | |
| | | | 2 | 4 |
| | | | – | 0 |
| | | | 2 | 4 |
STEP 11: SUBTRACT 24 - 0 = 24
|
| | | 0 | 2 | 0 |
| 3 | 0 | 6 | 2 | 4 |
| | – | 0 | | |
| | | 6 | 2 | |
| | – | 6 | 0 | |
| | | | 2 | 4 |
| | | | – | 0 |
| | | | 2 | 4 |
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