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Question
What is the quotient and remainder when $ 920 $ is divided by $ 414 $ ?
Answer
The quotient is 2 and the remainder is 92.
Explanation
Division Table
|
| | | 0 | 0 | 2 |
4 | 1 | 4 | 9 | 2 | 0 |
| | – | 0 | | |
| | | 9 | 2 | |
| | | – | 0 | |
| | | 9 | 2 | 0 |
| | – | 8 | 2 | 8 |
| | | | 9 | 2 |
STEP 0: set up a division table
|
| | | | | |
4 | 1 | 4 | 9 | 2 | 0 |
STEP 1: DIVIDE 9 : 414 = 0 with a remainder of 9
|
| | | 0 | | |
4 | 1 | 4 | 9 | 2 | 0 |
STEP 2: MULTIPLY 0 · 414 = 0
|
| | | 0 | | |
4 | 1 | 4 | 9 | 2 | 0 |
| | | 0 | | |
STEP 3: SUBTRACT 9 - 0 = 9
|
| | | 0 | | |
4 | 1 | 4 | 9 | 2 | 0 |
| | – | 0 | | |
| | | 9 | | |
STEP 4: BRING DOWN
|
| | | 0 | | |
4 | 1 | 4 | 9 | 2 | 0 |
| | – | 0 | | |
| | | 9 | 2 | |
STEP 5: DIVIDE 92 : 414 = 0 with a remainder of 92
|
| | | 0 | 0 | |
4 | 1 | 4 | 9 | 2 | 0 |
| | – | 0 | | |
| | | 9 | 2 | |
STEP 6: MULTIPLY 0 · 414 = 0
|
| | | 0 | 0 | |
4 | 1 | 4 | 9 | 2 | 0 |
| | – | 0 | | |
| | | 9 | 2 | |
| | | | 0 | |
STEP 7: SUBTRACT 92 - 0 = 92
|
| | | 0 | 0 | |
4 | 1 | 4 | 9 | 2 | 0 |
| | – | 0 | | |
| | | 9 | 2 | |
| | | – | 0 | |
| | | 9 | 2 | |
STEP 8: BRING DOWN
|
| | | 0 | 0 | |
4 | 1 | 4 | 9 | 2 | 0 |
| | – | 0 | | |
| | | 9 | 2 | |
| | | – | 0 | |
| | | 9 | 2 | 0 |
STEP 9: DIVIDE 920 : 414 = 2 with a remainder of 92
|
| | | 0 | 0 | 2 |
4 | 1 | 4 | 9 | 2 | 0 |
| | – | 0 | | |
| | | 9 | 2 | |
| | | – | 0 | |
| | | 9 | 2 | 0 |
STEP 10: MULTIPLY 2 · 414 = 828
|
| | | 0 | 0 | 2 |
4 | 1 | 4 | 9 | 2 | 0 |
| | – | 0 | | |
| | | 9 | 2 | |
| | | – | 0 | |
| | | 9 | 2 | 0 |
| | | 8 | 2 | 8 |
STEP 11: SUBTRACT 920 - 828 = 92
|
| | | 0 | 0 | 2 |
4 | 1 | 4 | 9 | 2 | 0 |
| | – | 0 | | |
| | | 9 | 2 | |
| | | – | 0 | |
| | | 9 | 2 | 0 |
| | – | 8 | 2 | 8 |
| | | | 9 | 2 |
STEP 11: SUBTRACT 920 - 828 = 92
|
| | | 0 | 0 | 2 |
4 | 1 | 4 | 9 | 2 | 0 |
| | – | 0 | | |
| | | 9 | 2 | |
| | | – | 0 | |
| | | 9 | 2 | 0 |
| | – | 8 | 2 | 8 |
| | | | 9 | 2 |
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