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Question
What is the quotient and remainder when $ 400 $ is divided by $ 400 $ ?
Answer
The quotient is 1 and the remainder is 0.
Explanation
|
Division Table
|
| | | | 0 | 0 | 1 |
| 4 | 0 | 0 | 4 | 0 | 0 |
| | | – | 0 | | |
| | | | 4 | 0 | |
| | | | – | 0 | |
| | | | 4 | 0 | 0 |
| | | – | 4 | 0 | 0 |
| | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | |
| 4 | 0 | 0 | 4 | 0 | 0 |
STEP 1: DIVIDE 4 : 400 = 0 with a remainder of 4
|
| | | | 0 | | |
| 4 | 0 | 0 | 4 | 0 | 0 |
STEP 2: MULTIPLY 0 · 400 = 0
|
| | | | 0 | | |
| 4 | 0 | 0 | 4 | 0 | 0 |
| | | | 0 | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | | | 0 | | |
| 4 | 0 | 0 | 4 | 0 | 0 |
| | | – | 0 | | |
| | | | 4 | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | |
| 4 | 0 | 0 | 4 | 0 | 0 |
| | | – | 0 | | |
| | | | 4 | 0 | |
STEP 5: DIVIDE 40 : 400 = 0 with a remainder of 40
|
| | | | 0 | 0 | |
| 4 | 0 | 0 | 4 | 0 | 0 |
| | | – | 0 | | |
| | | | 4 | 0 | |
STEP 6: MULTIPLY 0 · 400 = 0
|
| | | | 0 | 0 | |
| 4 | 0 | 0 | 4 | 0 | 0 |
| | | – | 0 | | |
| | | | 4 | 0 | |
| | | | | 0 | |
STEP 7: SUBTRACT 40 - 0 = 40
|
| | | | 0 | 0 | |
| 4 | 0 | 0 | 4 | 0 | 0 |
| | | – | 0 | | |
| | | | 4 | 0 | |
| | | | – | 0 | |
| | | | 4 | 0 | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | |
| 4 | 0 | 0 | 4 | 0 | 0 |
| | | – | 0 | | |
| | | | 4 | 0 | |
| | | | – | 0 | |
| | | | 4 | 0 | 0 |
STEP 9: DIVIDE 400 : 400 = 1 with a remainder of 0
|
| | | | 0 | 0 | 1 |
| 4 | 0 | 0 | 4 | 0 | 0 |
| | | – | 0 | | |
| | | | 4 | 0 | |
| | | | – | 0 | |
| | | | 4 | 0 | 0 |
STEP 10: MULTIPLY 1 · 400 = 400
|
| | | | 0 | 0 | 1 |
| 4 | 0 | 0 | 4 | 0 | 0 |
| | | – | 0 | | |
| | | | 4 | 0 | |
| | | | – | 0 | |
| | | | 4 | 0 | 0 |
| | | | 4 | 0 | 0 |
STEP 11: SUBTRACT 400 - 400 = 0
|
| | | | 0 | 0 | 1 |
| 4 | 0 | 0 | 4 | 0 | 0 |
| | | – | 0 | | |
| | | | 4 | 0 | |
| | | | – | 0 | |
| | | | 4 | 0 | 0 |
| | | – | 4 | 0 | 0 |
| | | | | | 0 |
STEP 11: SUBTRACT 400 - 400 = 0
|
| | | | 0 | 0 | 1 |
| 4 | 0 | 0 | 4 | 0 | 0 |
| | | – | 0 | | |
| | | | 4 | 0 | |
| | | | – | 0 | |
| | | | 4 | 0 | 0 |
| | | – | 4 | 0 | 0 |
| | | | | | 0 |
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