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What is the quotient and remainder when $ 7000 $ is divided by $ 225 $ ?
Answer
The quotient is 31 and the remainder is 25.
Explanation
Division Table
|
| | | 0 | 0 | 3 | 1 |
2 | 2 | 5 | 7 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | – | 0 | | |
| | | 7 | 0 | 0 | |
| | – | 6 | 7 | 5 | |
| | | | 2 | 5 | 0 |
| | | – | 2 | 2 | 5 |
| | | | | 2 | 5 |
STEP 0: set up a division table
|
| | | | | | |
2 | 2 | 5 | 7 | 0 | 0 | 0 |
STEP 1: DIVIDE 7 : 225 = 0 with a remainder of 7
|
| | | 0 | | | |
2 | 2 | 5 | 7 | 0 | 0 | 0 |
STEP 2: MULTIPLY 0 · 225 = 0
|
| | | 0 | | | |
2 | 2 | 5 | 7 | 0 | 0 | 0 |
| | | 0 | | | |
STEP 3: SUBTRACT 7 - 0 = 7
|
| | | 0 | | | |
2 | 2 | 5 | 7 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 7 | | | |
STEP 4: BRING DOWN
|
| | | 0 | | | |
2 | 2 | 5 | 7 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 7 | 0 | | |
STEP 5: DIVIDE 70 : 225 = 0 with a remainder of 70
|
| | | 0 | 0 | | |
2 | 2 | 5 | 7 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 7 | 0 | | |
STEP 6: MULTIPLY 0 · 225 = 0
|
| | | 0 | 0 | | |
2 | 2 | 5 | 7 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 70 - 0 = 70
|
| | | 0 | 0 | | |
2 | 2 | 5 | 7 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | – | 0 | | |
| | | 7 | 0 | | |
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
2 | 2 | 5 | 7 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | – | 0 | | |
| | | 7 | 0 | 0 | |
STEP 9: DIVIDE 700 : 225 = 3 with a remainder of 25
|
| | | 0 | 0 | 3 | |
2 | 2 | 5 | 7 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | – | 0 | | |
| | | 7 | 0 | 0 | |
STEP 10: MULTIPLY 3 · 225 = 675
|
| | | 0 | 0 | 3 | |
2 | 2 | 5 | 7 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | – | 0 | | |
| | | 7 | 0 | 0 | |
| | | 6 | 7 | 5 | |
STEP 11: SUBTRACT 700 - 675 = 25
|
| | | 0 | 0 | 3 | |
2 | 2 | 5 | 7 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | – | 0 | | |
| | | 7 | 0 | 0 | |
| | – | 6 | 7 | 5 | |
| | | | 2 | 5 | |
STEP 12: BRING DOWN
|
| | | 0 | 0 | 3 | |
2 | 2 | 5 | 7 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | – | 0 | | |
| | | 7 | 0 | 0 | |
| | – | 6 | 7 | 5 | |
| | | | 2 | 5 | 0 |
STEP 13: DIVIDE 250 : 225 = 1 with a remainder of 25
|
| | | 0 | 0 | 3 | 1 |
2 | 2 | 5 | 7 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | – | 0 | | |
| | | 7 | 0 | 0 | |
| | – | 6 | 7 | 5 | |
| | | | 2 | 5 | 0 |
STEP 14: MULTIPLY 1 · 225 = 225
|
| | | 0 | 0 | 3 | 1 |
2 | 2 | 5 | 7 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | – | 0 | | |
| | | 7 | 0 | 0 | |
| | – | 6 | 7 | 5 | |
| | | | 2 | 5 | 0 |
| | | | 2 | 2 | 5 |
STEP 15: SUBTRACT 250 - 225 = 25
|
| | | 0 | 0 | 3 | 1 |
2 | 2 | 5 | 7 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | – | 0 | | |
| | | 7 | 0 | 0 | |
| | – | 6 | 7 | 5 | |
| | | | 2 | 5 | 0 |
| | | – | 2 | 2 | 5 |
| | | | | 2 | 5 |
STEP 15: SUBTRACT 250 - 225 = 25
|
| | | 0 | 0 | 3 | 1 |
2 | 2 | 5 | 7 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 7 | 0 | | |
| | | – | 0 | | |
| | | 7 | 0 | 0 | |
| | – | 6 | 7 | 5 | |
| | | | 2 | 5 | 0 |
| | | – | 2 | 2 | 5 |
| | | | | 2 | 5 |
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