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Question
What is the quotient and remainder when $ 22500 $ is divided by $ 375 $ ?
Answer
The quotient is 60 and the remainder is 0.
Explanation
|
Division Table
|
| | | | 0 | 0 | 0 | 6 | 0 |
| 3 | 7 | 5 | 2 | 2 | 5 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 2 | 2 | | | |
| | | | – | 0 | | | |
| | | | 2 | 2 | 5 | | |
| | | | | – | 0 | | |
| | | | 2 | 2 | 5 | 0 | |
| | | – | 2 | 2 | 5 | 0 | |
| | | | | | | 0 | |
| | | | | | – | 0 | |
| | | | | | | 0 | |
STEP 0: set up a division table
|
| | | | | | | | |
| 3 | 7 | 5 | 2 | 2 | 5 | 0 | 0 |
STEP 1: DIVIDE 2 : 375 = 0 with a remainder of 2
|
| | | | 0 | | | | |
| 3 | 7 | 5 | 2 | 2 | 5 | 0 | 0 |
STEP 2: MULTIPLY 0 · 375 = 0
|
| | | | 0 | | | | |
| 3 | 7 | 5 | 2 | 2 | 5 | 0 | 0 |
| | | | 0 | | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | | | 0 | | | | |
| 3 | 7 | 5 | 2 | 2 | 5 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 2 | | | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | | | |
| 3 | 7 | 5 | 2 | 2 | 5 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 2 | 2 | | | |
STEP 5: DIVIDE 22 : 375 = 0 with a remainder of 22
|
| | | | 0 | 0 | | | |
| 3 | 7 | 5 | 2 | 2 | 5 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 2 | 2 | | | |
STEP 6: MULTIPLY 0 · 375 = 0
|
| | | | 0 | 0 | | | |
| 3 | 7 | 5 | 2 | 2 | 5 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 2 | 2 | | | |
| | | | | 0 | | | |
STEP 7: SUBTRACT 22 - 0 = 22
|
| | | | 0 | 0 | | | |
| 3 | 7 | 5 | 2 | 2 | 5 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 2 | 2 | | | |
| | | | – | 0 | | | |
| | | | 2 | 2 | | | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | | | |
| 3 | 7 | 5 | 2 | 2 | 5 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 2 | 2 | | | |
| | | | – | 0 | | | |
| | | | 2 | 2 | 5 | | |
STEP 9: DIVIDE 225 : 375 = 0 with a remainder of 225
|
| | | | 0 | 0 | 0 | | |
| 3 | 7 | 5 | 2 | 2 | 5 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 2 | 2 | | | |
| | | | – | 0 | | | |
| | | | 2 | 2 | 5 | | |
STEP 10: MULTIPLY 0 · 375 = 0
|
| | | | 0 | 0 | 0 | | |
| 3 | 7 | 5 | 2 | 2 | 5 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 2 | 2 | | | |
| | | | – | 0 | | | |
| | | | 2 | 2 | 5 | | |
| | | | | | 0 | | |
STEP 11: SUBTRACT 225 - 0 = 225
|
| | | | 0 | 0 | 0 | | |
| 3 | 7 | 5 | 2 | 2 | 5 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 2 | 2 | | | |
| | | | – | 0 | | | |
| | | | 2 | 2 | 5 | | |
| | | | | – | 0 | | |
| | | | 2 | 2 | 5 | | |
|
STEP 12: BRING DOWN
|
| | | | 0 | 0 | 0 | | |
| 3 | 7 | 5 | 2 | 2 | 5 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 2 | 2 | | | |
| | | | – | 0 | | | |
| | | | 2 | 2 | 5 | | |
| | | | | – | 0 | | |
| | | | 2 | 2 | 5 | 0 | |
STEP 13: DIVIDE 2250 : 375 = 6 with a remainder of 0
|
| | | | 0 | 0 | 0 | 6 | |
| 3 | 7 | 5 | 2 | 2 | 5 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 2 | 2 | | | |
| | | | – | 0 | | | |
| | | | 2 | 2 | 5 | | |
| | | | | – | 0 | | |
| | | | 2 | 2 | 5 | 0 | |
STEP 14: MULTIPLY 6 · 375 = 2250
|
| | | | 0 | 0 | 0 | 6 | |
| 3 | 7 | 5 | 2 | 2 | 5 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 2 | 2 | | | |
| | | | – | 0 | | | |
| | | | 2 | 2 | 5 | | |
| | | | | – | 0 | | |
| | | | 2 | 2 | 5 | 0 | |
| | | | 2 | 2 | 5 | 0 | |
STEP 15: SUBTRACT 2250 - 2250 = 0
|
| | | | 0 | 0 | 0 | 6 | |
| 3 | 7 | 5 | 2 | 2 | 5 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 2 | 2 | | | |
| | | | – | 0 | | | |
| | | | 2 | 2 | 5 | | |
| | | | | – | 0 | | |
| | | | 2 | 2 | 5 | 0 | |
| | | – | 2 | 2 | 5 | 0 | |
| | | | | | | 0 | |
|
STEP 16: BRING DOWN
|
| | | | 0 | 0 | 0 | 6 | |
| 3 | 7 | 5 | 2 | 2 | 5 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 2 | 2 | | | |
| | | | – | 0 | | | |
| | | | 2 | 2 | 5 | | |
| | | | | – | 0 | | |
| | | | 2 | 2 | 5 | 0 | |
| | | – | 2 | 2 | 5 | 0 | |
| | | | | | | 0 | |
STEP 17: DIVIDE 0 : 375 = 0 with a remainder of 0
|
| | | | 0 | 0 | 0 | 6 | 0 |
| 3 | 7 | 5 | 2 | 2 | 5 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 2 | 2 | | | |
| | | | – | 0 | | | |
| | | | 2 | 2 | 5 | | |
| | | | | – | 0 | | |
| | | | 2 | 2 | 5 | 0 | |
| | | – | 2 | 2 | 5 | 0 | |
| | | | | | | 0 | |
STEP 18: MULTIPLY 0 · 375 = 0
|
| | | | 0 | 0 | 0 | 6 | 0 |
| 3 | 7 | 5 | 2 | 2 | 5 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 2 | 2 | | | |
| | | | – | 0 | | | |
| | | | 2 | 2 | 5 | | |
| | | | | – | 0 | | |
| | | | 2 | 2 | 5 | 0 | |
| | | – | 2 | 2 | 5 | 0 | |
| | | | | | | 0 | |
| | | | | | | 0 | |
STEP 19: SUBTRACT 0 - 0 = 0
|
| | | | 0 | 0 | 0 | 6 | 0 |
| 3 | 7 | 5 | 2 | 2 | 5 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 2 | 2 | | | |
| | | | – | 0 | | | |
| | | | 2 | 2 | 5 | | |
| | | | | – | 0 | | |
| | | | 2 | 2 | 5 | 0 | |
| | | – | 2 | 2 | 5 | 0 | |
| | | | | | | 0 | |
| | | | | | – | 0 | |
| | | | | | | 0 | |
STEP 19: SUBTRACT 0 - 0 = 0
|
| | | | 0 | 0 | 0 | 6 | 0 |
| 3 | 7 | 5 | 2 | 2 | 5 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 2 | 2 | | | |
| | | | – | 0 | | | |
| | | | 2 | 2 | 5 | | |
| | | | | – | 0 | | |
| | | | 2 | 2 | 5 | 0 | |
| | | – | 2 | 2 | 5 | 0 | |
| | | | | | | 0 | |
| | | | | | – | 0 | |
| | | | | | | 0 | |
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