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Question
What is the quotient and remainder when $ 626 $ is divided by $ 55 $ ?
Answer
The quotient is 11 and the remainder is 21.
Explanation
|
Division Table
|
| | | 0 | 1 | 1 |
| 5 | 5 | 6 | 2 | 6 |
| | – | 0 | | |
| | | 6 | 2 | |
| | – | 5 | 5 | |
| | | | 7 | 6 |
| | | – | 5 | 5 |
| | | | 2 | 1 |
STEP 0: set up a division table
|
| | | | | |
| 5 | 5 | 6 | 2 | 6 |
STEP 1: DIVIDE 6 : 55 = 0 with a remainder of 6
|
| | | 0 | | |
| 5 | 5 | 6 | 2 | 6 |
STEP 2: MULTIPLY 0 · 55 = 0
|
| | | 0 | | |
| 5 | 5 | 6 | 2 | 6 |
| | | 0 | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | | 0 | | |
| 5 | 5 | 6 | 2 | 6 |
| | – | 0 | | |
| | | 6 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 5 | 5 | 6 | 2 | 6 |
| | – | 0 | | |
| | | 6 | 2 | |
STEP 5: DIVIDE 62 : 55 = 1 with a remainder of 7
|
| | | 0 | 1 | |
| 5 | 5 | 6 | 2 | 6 |
| | – | 0 | | |
| | | 6 | 2 | |
STEP 6: MULTIPLY 1 · 55 = 55
|
| | | 0 | 1 | |
| 5 | 5 | 6 | 2 | 6 |
| | – | 0 | | |
| | | 6 | 2 | |
| | | 5 | 5 | |
STEP 7: SUBTRACT 62 - 55 = 7
|
| | | 0 | 1 | |
| 5 | 5 | 6 | 2 | 6 |
| | – | 0 | | |
| | | 6 | 2 | |
| | – | 5 | 5 | |
| | | | 7 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 1 | |
| 5 | 5 | 6 | 2 | 6 |
| | – | 0 | | |
| | | 6 | 2 | |
| | – | 5 | 5 | |
| | | | 7 | 6 |
STEP 9: DIVIDE 76 : 55 = 1 with a remainder of 21
|
| | | 0 | 1 | 1 |
| 5 | 5 | 6 | 2 | 6 |
| | – | 0 | | |
| | | 6 | 2 | |
| | – | 5 | 5 | |
| | | | 7 | 6 |
STEP 10: MULTIPLY 1 · 55 = 55
|
| | | 0 | 1 | 1 |
| 5 | 5 | 6 | 2 | 6 |
| | – | 0 | | |
| | | 6 | 2 | |
| | – | 5 | 5 | |
| | | | 7 | 6 |
| | | | 5 | 5 |
STEP 11: SUBTRACT 76 - 55 = 21
|
| | | 0 | 1 | 1 |
| 5 | 5 | 6 | 2 | 6 |
| | – | 0 | | |
| | | 6 | 2 | |
| | – | 5 | 5 | |
| | | | 7 | 6 |
| | | – | 5 | 5 |
| | | | 2 | 1 |
STEP 11: SUBTRACT 76 - 55 = 21
|
| | | 0 | 1 | 1 |
| 5 | 5 | 6 | 2 | 6 |
| | – | 0 | | |
| | | 6 | 2 | |
| | – | 5 | 5 | |
| | | | 7 | 6 |
| | | – | 5 | 5 |
| | | | 2 | 1 |
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