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Question
What is the quotient and remainder when $ 636 $ is divided by $ 10 $ ?
Answer
The quotient is 63 and the remainder is 6.
Explanation
|
Division Table
|
| | | 0 | 6 | 3 |
| 1 | 0 | 6 | 3 | 6 |
| | – | 0 | | |
| | | 6 | 3 | |
| | – | 6 | 0 | |
| | | | 3 | 6 |
| | | – | 3 | 0 |
| | | | | 6 |
STEP 0: set up a division table
|
| | | | | |
| 1 | 0 | 6 | 3 | 6 |
STEP 1: DIVIDE 6 : 10 = 0 with a remainder of 6
|
| | | 0 | | |
| 1 | 0 | 6 | 3 | 6 |
STEP 2: MULTIPLY 0 · 10 = 0
|
| | | 0 | | |
| 1 | 0 | 6 | 3 | 6 |
| | | 0 | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | | 0 | | |
| 1 | 0 | 6 | 3 | 6 |
| | – | 0 | | |
| | | 6 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 1 | 0 | 6 | 3 | 6 |
| | – | 0 | | |
| | | 6 | 3 | |
STEP 5: DIVIDE 63 : 10 = 6 with a remainder of 3
|
| | | 0 | 6 | |
| 1 | 0 | 6 | 3 | 6 |
| | – | 0 | | |
| | | 6 | 3 | |
STEP 6: MULTIPLY 6 · 10 = 60
|
| | | 0 | 6 | |
| 1 | 0 | 6 | 3 | 6 |
| | – | 0 | | |
| | | 6 | 3 | |
| | | 6 | 0 | |
STEP 7: SUBTRACT 63 - 60 = 3
|
| | | 0 | 6 | |
| 1 | 0 | 6 | 3 | 6 |
| | – | 0 | | |
| | | 6 | 3 | |
| | – | 6 | 0 | |
| | | | 3 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 6 | |
| 1 | 0 | 6 | 3 | 6 |
| | – | 0 | | |
| | | 6 | 3 | |
| | – | 6 | 0 | |
| | | | 3 | 6 |
STEP 9: DIVIDE 36 : 10 = 3 with a remainder of 6
|
| | | 0 | 6 | 3 |
| 1 | 0 | 6 | 3 | 6 |
| | – | 0 | | |
| | | 6 | 3 | |
| | – | 6 | 0 | |
| | | | 3 | 6 |
STEP 10: MULTIPLY 3 · 10 = 30
|
| | | 0 | 6 | 3 |
| 1 | 0 | 6 | 3 | 6 |
| | – | 0 | | |
| | | 6 | 3 | |
| | – | 6 | 0 | |
| | | | 3 | 6 |
| | | | 3 | 0 |
STEP 11: SUBTRACT 36 - 30 = 6
|
| | | 0 | 6 | 3 |
| 1 | 0 | 6 | 3 | 6 |
| | – | 0 | | |
| | | 6 | 3 | |
| | – | 6 | 0 | |
| | | | 3 | 6 |
| | | – | 3 | 0 |
| | | | | 6 |
STEP 11: SUBTRACT 36 - 30 = 6
|
| | | 0 | 6 | 3 |
| 1 | 0 | 6 | 3 | 6 |
| | – | 0 | | |
| | | 6 | 3 | |
| | – | 6 | 0 | |
| | | | 3 | 6 |
| | | – | 3 | 0 |
| | | | | 6 |
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