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Question
What is the quotient and remainder when $ 6000 $ is divided by $ 225 $ ?
Answer
The quotient is 26 and the remainder is 150.
Explanation
Division Table
|
| | | 0 | 0 | 2 | 6 |
2 | 2 | 5 | 6 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 6 | 0 | | |
| | | – | 0 | | |
| | | 6 | 0 | 0 | |
| | – | 4 | 5 | 0 | |
| | | 1 | 5 | 0 | 0 |
| | – | 1 | 3 | 5 | 0 |
| | | | 1 | 5 | 0 |
STEP 0: set up a division table
|
| | | | | | |
2 | 2 | 5 | 6 | 0 | 0 | 0 |
STEP 1: DIVIDE 6 : 225 = 0 with a remainder of 6
|
| | | 0 | | | |
2 | 2 | 5 | 6 | 0 | 0 | 0 |
STEP 2: MULTIPLY 0 · 225 = 0
|
| | | 0 | | | |
2 | 2 | 5 | 6 | 0 | 0 | 0 |
| | | 0 | | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | | 0 | | | |
2 | 2 | 5 | 6 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 6 | | | |
STEP 4: BRING DOWN
|
| | | 0 | | | |
2 | 2 | 5 | 6 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 6 | 0 | | |
STEP 5: DIVIDE 60 : 225 = 0 with a remainder of 60
|
| | | 0 | 0 | | |
2 | 2 | 5 | 6 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 6 | 0 | | |
STEP 6: MULTIPLY 0 · 225 = 0
|
| | | 0 | 0 | | |
2 | 2 | 5 | 6 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 6 | 0 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 60 - 0 = 60
|
| | | 0 | 0 | | |
2 | 2 | 5 | 6 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 6 | 0 | | |
| | | – | 0 | | |
| | | 6 | 0 | | |
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
2 | 2 | 5 | 6 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 6 | 0 | | |
| | | – | 0 | | |
| | | 6 | 0 | 0 | |
STEP 9: DIVIDE 600 : 225 = 2 with a remainder of 150
|
| | | 0 | 0 | 2 | |
2 | 2 | 5 | 6 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 6 | 0 | | |
| | | – | 0 | | |
| | | 6 | 0 | 0 | |
STEP 10: MULTIPLY 2 · 225 = 450
|
| | | 0 | 0 | 2 | |
2 | 2 | 5 | 6 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 6 | 0 | | |
| | | – | 0 | | |
| | | 6 | 0 | 0 | |
| | | 4 | 5 | 0 | |
STEP 11: SUBTRACT 600 - 450 = 150
|
| | | 0 | 0 | 2 | |
2 | 2 | 5 | 6 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 6 | 0 | | |
| | | – | 0 | | |
| | | 6 | 0 | 0 | |
| | – | 4 | 5 | 0 | |
| | | 1 | 5 | 0 | |
STEP 12: BRING DOWN
|
| | | 0 | 0 | 2 | |
2 | 2 | 5 | 6 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 6 | 0 | | |
| | | – | 0 | | |
| | | 6 | 0 | 0 | |
| | – | 4 | 5 | 0 | |
| | | 1 | 5 | 0 | 0 |
STEP 13: DIVIDE 1500 : 225 = 6 with a remainder of 150
|
| | | 0 | 0 | 2 | 6 |
2 | 2 | 5 | 6 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 6 | 0 | | |
| | | – | 0 | | |
| | | 6 | 0 | 0 | |
| | – | 4 | 5 | 0 | |
| | | 1 | 5 | 0 | 0 |
STEP 14: MULTIPLY 6 · 225 = 1350
|
| | | 0 | 0 | 2 | 6 |
2 | 2 | 5 | 6 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 6 | 0 | | |
| | | – | 0 | | |
| | | 6 | 0 | 0 | |
| | – | 4 | 5 | 0 | |
| | | 1 | 5 | 0 | 0 |
| | | 1 | 3 | 5 | 0 |
STEP 15: SUBTRACT 1500 - 1350 = 150
|
| | | 0 | 0 | 2 | 6 |
2 | 2 | 5 | 6 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 6 | 0 | | |
| | | – | 0 | | |
| | | 6 | 0 | 0 | |
| | – | 4 | 5 | 0 | |
| | | 1 | 5 | 0 | 0 |
| | – | 1 | 3 | 5 | 0 |
| | | | 1 | 5 | 0 |
STEP 15: SUBTRACT 1500 - 1350 = 150
|
| | | 0 | 0 | 2 | 6 |
2 | 2 | 5 | 6 | 0 | 0 | 0 |
| | – | 0 | | | |
| | | 6 | 0 | | |
| | | – | 0 | | |
| | | 6 | 0 | 0 | |
| | – | 4 | 5 | 0 | |
| | | 1 | 5 | 0 | 0 |
| | – | 1 | 3 | 5 | 0 |
| | | | 1 | 5 | 0 |
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