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Question
What is the quotient and remainder when $ 6000 $ is divided by $ 25 $ ?
Answer
The quotient is 240 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 2 | 4 | 0 |
| 2 | 5 | 6 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 6 | 0 | | |
| | – | 5 | 0 | | |
| | | 1 | 0 | 0 | |
| | – | 1 | 0 | 0 | |
| | | | | 0 | |
| | | | – | 0 | |
| | | | | 0 | |
STEP 0: set up a division table
|
| | | | | | |
| 2 | 5 | 6 | 0 | 0 | 0 |
STEP 1: DIVIDE 6 : 25 = 0 with a remainder of 6
|
| | | 0 | | | |
| 2 | 5 | 6 | 0 | 0 | 0 |
STEP 2: MULTIPLY 0 · 25 = 0
|
| | | 0 | | | |
| 2 | 5 | 6 | 0 | 0 | 0 |
| | | 0 | | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | | 0 | | | |
| 2 | 5 | 6 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 6 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 2 | 5 | 6 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 6 | 0 | | |
STEP 5: DIVIDE 60 : 25 = 2 with a remainder of 10
|
| | | 0 | 2 | | |
| 2 | 5 | 6 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 6 | 0 | | |
STEP 6: MULTIPLY 2 · 25 = 50
|
| | | 0 | 2 | | |
| 2 | 5 | 6 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 6 | 0 | | |
| | | 5 | 0 | | |
STEP 7: SUBTRACT 60 - 50 = 10
|
| | | 0 | 2 | | |
| 2 | 5 | 6 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 6 | 0 | | |
| | – | 5 | 0 | | |
| | | 1 | 0 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 2 | | |
| 2 | 5 | 6 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 6 | 0 | | |
| | – | 5 | 0 | | |
| | | 1 | 0 | 0 | |
STEP 9: DIVIDE 100 : 25 = 4 with a remainder of 0
|
| | | 0 | 2 | 4 | |
| 2 | 5 | 6 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 6 | 0 | | |
| | – | 5 | 0 | | |
| | | 1 | 0 | 0 | |
STEP 10: MULTIPLY 4 · 25 = 100
|
| | | 0 | 2 | 4 | |
| 2 | 5 | 6 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 6 | 0 | | |
| | – | 5 | 0 | | |
| | | 1 | 0 | 0 | |
| | | 1 | 0 | 0 | |
STEP 11: SUBTRACT 100 - 100 = 0
|
| | | 0 | 2 | 4 | |
| 2 | 5 | 6 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 6 | 0 | | |
| | – | 5 | 0 | | |
| | | 1 | 0 | 0 | |
| | – | 1 | 0 | 0 | |
| | | | | 0 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 2 | 4 | |
| 2 | 5 | 6 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 6 | 0 | | |
| | – | 5 | 0 | | |
| | | 1 | 0 | 0 | |
| | – | 1 | 0 | 0 | |
| | | | | 0 | |
STEP 13: DIVIDE 0 : 25 = 0 with a remainder of 0
|
| | | 0 | 2 | 4 | 0 |
| 2 | 5 | 6 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 6 | 0 | | |
| | – | 5 | 0 | | |
| | | 1 | 0 | 0 | |
| | – | 1 | 0 | 0 | |
| | | | | 0 | |
STEP 14: MULTIPLY 0 · 25 = 0
|
| | | 0 | 2 | 4 | 0 |
| 2 | 5 | 6 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 6 | 0 | | |
| | – | 5 | 0 | | |
| | | 1 | 0 | 0 | |
| | – | 1 | 0 | 0 | |
| | | | | 0 | |
| | | | | 0 | |
STEP 15: SUBTRACT 0 - 0 = 0
|
| | | 0 | 2 | 4 | 0 |
| 2 | 5 | 6 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 6 | 0 | | |
| | – | 5 | 0 | | |
| | | 1 | 0 | 0 | |
| | – | 1 | 0 | 0 | |
| | | | | 0 | |
| | | | – | 0 | |
| | | | | 0 | |
STEP 15: SUBTRACT 0 - 0 = 0
|
| | | 0 | 2 | 4 | 0 |
| 2 | 5 | 6 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 6 | 0 | | |
| | – | 5 | 0 | | |
| | | 1 | 0 | 0 | |
| | – | 1 | 0 | 0 | |
| | | | | 0 | |
| | | | – | 0 | |
| | | | | 0 | |
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