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Question
What is the quotient and remainder when $ 96875 $ is divided by $ 625 $ ?
Answer
The quotient is 155 and the remainder is 0.
Explanation
|
Division Table
|
| | | | 0 | 0 | 1 | 5 | 5 |
| 6 | 2 | 5 | 9 | 6 | 8 | 7 | 5 |
| | | – | 0 | | | | |
| | | | 9 | 6 | | | |
| | | | – | 0 | | | |
| | | | 9 | 6 | 8 | | |
| | | – | 6 | 2 | 5 | | |
| | | | 3 | 4 | 3 | 7 | |
| | | – | 3 | 1 | 2 | 5 | |
| | | | | 3 | 1 | 2 | 5 |
| | | | – | 3 | 1 | 2 | 5 |
| | | | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | | | |
| 6 | 2 | 5 | 9 | 6 | 8 | 7 | 5 |
STEP 1: DIVIDE 9 : 625 = 0 with a remainder of 9
|
| | | | 0 | | | | |
| 6 | 2 | 5 | 9 | 6 | 8 | 7 | 5 |
STEP 2: MULTIPLY 0 · 625 = 0
|
| | | | 0 | | | | |
| 6 | 2 | 5 | 9 | 6 | 8 | 7 | 5 |
| | | | 0 | | | | |
STEP 3: SUBTRACT 9 - 0 = 9
|
| | | | 0 | | | | |
| 6 | 2 | 5 | 9 | 6 | 8 | 7 | 5 |
| | | – | 0 | | | | |
| | | | 9 | | | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | | | |
| 6 | 2 | 5 | 9 | 6 | 8 | 7 | 5 |
| | | – | 0 | | | | |
| | | | 9 | 6 | | | |
STEP 5: DIVIDE 96 : 625 = 0 with a remainder of 96
|
| | | | 0 | 0 | | | |
| 6 | 2 | 5 | 9 | 6 | 8 | 7 | 5 |
| | | – | 0 | | | | |
| | | | 9 | 6 | | | |
STEP 6: MULTIPLY 0 · 625 = 0
|
| | | | 0 | 0 | | | |
| 6 | 2 | 5 | 9 | 6 | 8 | 7 | 5 |
| | | – | 0 | | | | |
| | | | 9 | 6 | | | |
| | | | | 0 | | | |
STEP 7: SUBTRACT 96 - 0 = 96
|
| | | | 0 | 0 | | | |
| 6 | 2 | 5 | 9 | 6 | 8 | 7 | 5 |
| | | – | 0 | | | | |
| | | | 9 | 6 | | | |
| | | | – | 0 | | | |
| | | | 9 | 6 | | | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | | | |
| 6 | 2 | 5 | 9 | 6 | 8 | 7 | 5 |
| | | – | 0 | | | | |
| | | | 9 | 6 | | | |
| | | | – | 0 | | | |
| | | | 9 | 6 | 8 | | |
STEP 9: DIVIDE 968 : 625 = 1 with a remainder of 343
|
| | | | 0 | 0 | 1 | | |
| 6 | 2 | 5 | 9 | 6 | 8 | 7 | 5 |
| | | – | 0 | | | | |
| | | | 9 | 6 | | | |
| | | | – | 0 | | | |
| | | | 9 | 6 | 8 | | |
STEP 10: MULTIPLY 1 · 625 = 625
|
| | | | 0 | 0 | 1 | | |
| 6 | 2 | 5 | 9 | 6 | 8 | 7 | 5 |
| | | – | 0 | | | | |
| | | | 9 | 6 | | | |
| | | | – | 0 | | | |
| | | | 9 | 6 | 8 | | |
| | | | 6 | 2 | 5 | | |
STEP 11: SUBTRACT 968 - 625 = 343
|
| | | | 0 | 0 | 1 | | |
| 6 | 2 | 5 | 9 | 6 | 8 | 7 | 5 |
| | | – | 0 | | | | |
| | | | 9 | 6 | | | |
| | | | – | 0 | | | |
| | | | 9 | 6 | 8 | | |
| | | – | 6 | 2 | 5 | | |
| | | | 3 | 4 | 3 | | |
|
STEP 12: BRING DOWN
|
| | | | 0 | 0 | 1 | | |
| 6 | 2 | 5 | 9 | 6 | 8 | 7 | 5 |
| | | – | 0 | | | | |
| | | | 9 | 6 | | | |
| | | | – | 0 | | | |
| | | | 9 | 6 | 8 | | |
| | | – | 6 | 2 | 5 | | |
| | | | 3 | 4 | 3 | 7 | |
STEP 13: DIVIDE 3437 : 625 = 5 with a remainder of 312
|
| | | | 0 | 0 | 1 | 5 | |
| 6 | 2 | 5 | 9 | 6 | 8 | 7 | 5 |
| | | – | 0 | | | | |
| | | | 9 | 6 | | | |
| | | | – | 0 | | | |
| | | | 9 | 6 | 8 | | |
| | | – | 6 | 2 | 5 | | |
| | | | 3 | 4 | 3 | 7 | |
STEP 14: MULTIPLY 5 · 625 = 3125
|
| | | | 0 | 0 | 1 | 5 | |
| 6 | 2 | 5 | 9 | 6 | 8 | 7 | 5 |
| | | – | 0 | | | | |
| | | | 9 | 6 | | | |
| | | | – | 0 | | | |
| | | | 9 | 6 | 8 | | |
| | | – | 6 | 2 | 5 | | |
| | | | 3 | 4 | 3 | 7 | |
| | | | 3 | 1 | 2 | 5 | |
STEP 15: SUBTRACT 3437 - 3125 = 312
|
| | | | 0 | 0 | 1 | 5 | |
| 6 | 2 | 5 | 9 | 6 | 8 | 7 | 5 |
| | | – | 0 | | | | |
| | | | 9 | 6 | | | |
| | | | – | 0 | | | |
| | | | 9 | 6 | 8 | | |
| | | – | 6 | 2 | 5 | | |
| | | | 3 | 4 | 3 | 7 | |
| | | – | 3 | 1 | 2 | 5 | |
| | | | | 3 | 1 | 2 | |
|
STEP 16: BRING DOWN
|
| | | | 0 | 0 | 1 | 5 | |
| 6 | 2 | 5 | 9 | 6 | 8 | 7 | 5 |
| | | – | 0 | | | | |
| | | | 9 | 6 | | | |
| | | | – | 0 | | | |
| | | | 9 | 6 | 8 | | |
| | | – | 6 | 2 | 5 | | |
| | | | 3 | 4 | 3 | 7 | |
| | | – | 3 | 1 | 2 | 5 | |
| | | | | 3 | 1 | 2 | 5 |
STEP 17: DIVIDE 3125 : 625 = 5 with a remainder of 0
|
| | | | 0 | 0 | 1 | 5 | 5 |
| 6 | 2 | 5 | 9 | 6 | 8 | 7 | 5 |
| | | – | 0 | | | | |
| | | | 9 | 6 | | | |
| | | | – | 0 | | | |
| | | | 9 | 6 | 8 | | |
| | | – | 6 | 2 | 5 | | |
| | | | 3 | 4 | 3 | 7 | |
| | | – | 3 | 1 | 2 | 5 | |
| | | | | 3 | 1 | 2 | 5 |
STEP 18: MULTIPLY 5 · 625 = 3125
|
| | | | 0 | 0 | 1 | 5 | 5 |
| 6 | 2 | 5 | 9 | 6 | 8 | 7 | 5 |
| | | – | 0 | | | | |
| | | | 9 | 6 | | | |
| | | | – | 0 | | | |
| | | | 9 | 6 | 8 | | |
| | | – | 6 | 2 | 5 | | |
| | | | 3 | 4 | 3 | 7 | |
| | | – | 3 | 1 | 2 | 5 | |
| | | | | 3 | 1 | 2 | 5 |
| | | | | 3 | 1 | 2 | 5 |
STEP 19: SUBTRACT 3125 - 3125 = 0
|
| | | | 0 | 0 | 1 | 5 | 5 |
| 6 | 2 | 5 | 9 | 6 | 8 | 7 | 5 |
| | | – | 0 | | | | |
| | | | 9 | 6 | | | |
| | | | – | 0 | | | |
| | | | 9 | 6 | 8 | | |
| | | – | 6 | 2 | 5 | | |
| | | | 3 | 4 | 3 | 7 | |
| | | – | 3 | 1 | 2 | 5 | |
| | | | | 3 | 1 | 2 | 5 |
| | | | – | 3 | 1 | 2 | 5 |
| | | | | | | | 0 |
STEP 19: SUBTRACT 3125 - 3125 = 0
|
| | | | 0 | 0 | 1 | 5 | 5 |
| 6 | 2 | 5 | 9 | 6 | 8 | 7 | 5 |
| | | – | 0 | | | | |
| | | | 9 | 6 | | | |
| | | | – | 0 | | | |
| | | | 9 | 6 | 8 | | |
| | | – | 6 | 2 | 5 | | |
| | | | 3 | 4 | 3 | 7 | |
| | | – | 3 | 1 | 2 | 5 | |
| | | | | 3 | 1 | 2 | 5 |
| | | | – | 3 | 1 | 2 | 5 |
| | | | | | | | 0 |
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