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Question
What is the quotient and remainder when $ 648 $ is divided by $ 32 $ ?
Answer
The quotient is 20 and the remainder is 8.
Explanation
|
Division Table
|
| | | 0 | 2 | 0 |
| 3 | 2 | 6 | 4 | 8 |
| | – | 0 | | |
| | | 6 | 4 | |
| | – | 6 | 4 | |
| | | | 8 | |
| | | – | 0 | |
| | | | 8 | |
STEP 0: set up a division table
|
| | | | | |
| 3 | 2 | 6 | 4 | 8 |
STEP 1: DIVIDE 6 : 32 = 0 with a remainder of 6
|
| | | 0 | | |
| 3 | 2 | 6 | 4 | 8 |
STEP 2: MULTIPLY 0 · 32 = 0
|
| | | 0 | | |
| 3 | 2 | 6 | 4 | 8 |
| | | 0 | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | | 0 | | |
| 3 | 2 | 6 | 4 | 8 |
| | – | 0 | | |
| | | 6 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 3 | 2 | 6 | 4 | 8 |
| | – | 0 | | |
| | | 6 | 4 | |
STEP 5: DIVIDE 64 : 32 = 2 with a remainder of 0
|
| | | 0 | 2 | |
| 3 | 2 | 6 | 4 | 8 |
| | – | 0 | | |
| | | 6 | 4 | |
STEP 6: MULTIPLY 2 · 32 = 64
|
| | | 0 | 2 | |
| 3 | 2 | 6 | 4 | 8 |
| | – | 0 | | |
| | | 6 | 4 | |
| | | 6 | 4 | |
STEP 7: SUBTRACT 64 - 64 = 0
|
| | | 0 | 2 | |
| 3 | 2 | 6 | 4 | 8 |
| | – | 0 | | |
| | | 6 | 4 | |
| | – | 6 | 4 | |
| | | | 0 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 2 | |
| 3 | 2 | 6 | 4 | 8 |
| | – | 0 | | |
| | | 6 | 4 | |
| | – | 6 | 4 | |
| | | | 8 | |
STEP 9: DIVIDE 8 : 32 = 0 with a remainder of 8
|
| | | 0 | 2 | 0 |
| 3 | 2 | 6 | 4 | 8 |
| | – | 0 | | |
| | | 6 | 4 | |
| | – | 6 | 4 | |
| | | | 8 | |
STEP 10: MULTIPLY 0 · 32 = 0
|
| | | 0 | 2 | 0 |
| 3 | 2 | 6 | 4 | 8 |
| | – | 0 | | |
| | | 6 | 4 | |
| | – | 6 | 4 | |
| | | | 8 | |
| | | | 0 | |
STEP 11: SUBTRACT 8 - 0 = 8
|
| | | 0 | 2 | 0 |
| 3 | 2 | 6 | 4 | 8 |
| | – | 0 | | |
| | | 6 | 4 | |
| | – | 6 | 4 | |
| | | | 8 | |
| | | – | 0 | |
| | | | 8 | |
STEP 11: SUBTRACT 8 - 0 = 8
|
| | | 0 | 2 | 0 |
| 3 | 2 | 6 | 4 | 8 |
| | – | 0 | | |
| | | 6 | 4 | |
| | – | 6 | 4 | |
| | | | 8 | |
| | | – | 0 | |
| | | | 8 | |
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