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Question
What is the quotient and remainder when $ 568 $ is divided by $ 400 $ ?
Answer
The quotient is 1 and the remainder is 168.
Explanation
|
Division Table
|
| | | | 0 | 0 | 1 |
| 4 | 0 | 0 | 5 | 6 | 8 |
| | | – | 0 | | |
| | | | 5 | 6 | |
| | | | – | 0 | |
| | | | 5 | 6 | 8 |
| | | – | 4 | 0 | 0 |
| | | | 1 | 6 | 8 |
STEP 0: set up a division table
|
| | | | | | |
| 4 | 0 | 0 | 5 | 6 | 8 |
STEP 1: DIVIDE 5 : 400 = 0 with a remainder of 5
|
| | | | 0 | | |
| 4 | 0 | 0 | 5 | 6 | 8 |
STEP 2: MULTIPLY 0 · 400 = 0
|
| | | | 0 | | |
| 4 | 0 | 0 | 5 | 6 | 8 |
| | | | 0 | | |
STEP 3: SUBTRACT 5 - 0 = 5
|
| | | | 0 | | |
| 4 | 0 | 0 | 5 | 6 | 8 |
| | | – | 0 | | |
| | | | 5 | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | |
| 4 | 0 | 0 | 5 | 6 | 8 |
| | | – | 0 | | |
| | | | 5 | 6 | |
STEP 5: DIVIDE 56 : 400 = 0 with a remainder of 56
|
| | | | 0 | 0 | |
| 4 | 0 | 0 | 5 | 6 | 8 |
| | | – | 0 | | |
| | | | 5 | 6 | |
STEP 6: MULTIPLY 0 · 400 = 0
|
| | | | 0 | 0 | |
| 4 | 0 | 0 | 5 | 6 | 8 |
| | | – | 0 | | |
| | | | 5 | 6 | |
| | | | | 0 | |
STEP 7: SUBTRACT 56 - 0 = 56
|
| | | | 0 | 0 | |
| 4 | 0 | 0 | 5 | 6 | 8 |
| | | – | 0 | | |
| | | | 5 | 6 | |
| | | | – | 0 | |
| | | | 5 | 6 | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | |
| 4 | 0 | 0 | 5 | 6 | 8 |
| | | – | 0 | | |
| | | | 5 | 6 | |
| | | | – | 0 | |
| | | | 5 | 6 | 8 |
STEP 9: DIVIDE 568 : 400 = 1 with a remainder of 168
|
| | | | 0 | 0 | 1 |
| 4 | 0 | 0 | 5 | 6 | 8 |
| | | – | 0 | | |
| | | | 5 | 6 | |
| | | | – | 0 | |
| | | | 5 | 6 | 8 |
STEP 10: MULTIPLY 1 · 400 = 400
|
| | | | 0 | 0 | 1 |
| 4 | 0 | 0 | 5 | 6 | 8 |
| | | – | 0 | | |
| | | | 5 | 6 | |
| | | | – | 0 | |
| | | | 5 | 6 | 8 |
| | | | 4 | 0 | 0 |
STEP 11: SUBTRACT 568 - 400 = 168
|
| | | | 0 | 0 | 1 |
| 4 | 0 | 0 | 5 | 6 | 8 |
| | | – | 0 | | |
| | | | 5 | 6 | |
| | | | – | 0 | |
| | | | 5 | 6 | 8 |
| | | – | 4 | 0 | 0 |
| | | | 1 | 6 | 8 |
STEP 11: SUBTRACT 568 - 400 = 168
|
| | | | 0 | 0 | 1 |
| 4 | 0 | 0 | 5 | 6 | 8 |
| | | – | 0 | | |
| | | | 5 | 6 | |
| | | | – | 0 | |
| | | | 5 | 6 | 8 |
| | | – | 4 | 0 | 0 |
| | | | 1 | 6 | 8 |
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