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What is the quotient and remainder when $ 750 $ is divided by $ 600 $ ?
Answer
The quotient is 1 and the remainder is 150.
Explanation
Division Table
|
| | | 0 | 0 | 1 |
6 | 0 | 0 | 7 | 5 | 0 |
| | – | 0 | | |
| | | 7 | 5 | |
| | | – | 0 | |
| | | 7 | 5 | 0 |
| | – | 6 | 0 | 0 |
| | | 1 | 5 | 0 |
STEP 0: set up a division table
|
| | | | | |
6 | 0 | 0 | 7 | 5 | 0 |
STEP 1: DIVIDE 7 : 600 = 0 with a remainder of 7
|
| | | 0 | | |
6 | 0 | 0 | 7 | 5 | 0 |
STEP 2: MULTIPLY 0 · 600 = 0
|
| | | 0 | | |
6 | 0 | 0 | 7 | 5 | 0 |
| | | 0 | | |
STEP 3: SUBTRACT 7 - 0 = 7
|
| | | 0 | | |
6 | 0 | 0 | 7 | 5 | 0 |
| | – | 0 | | |
| | | 7 | | |
STEP 4: BRING DOWN
|
| | | 0 | | |
6 | 0 | 0 | 7 | 5 | 0 |
| | – | 0 | | |
| | | 7 | 5 | |
STEP 5: DIVIDE 75 : 600 = 0 with a remainder of 75
|
| | | 0 | 0 | |
6 | 0 | 0 | 7 | 5 | 0 |
| | – | 0 | | |
| | | 7 | 5 | |
STEP 6: MULTIPLY 0 · 600 = 0
|
| | | 0 | 0 | |
6 | 0 | 0 | 7 | 5 | 0 |
| | – | 0 | | |
| | | 7 | 5 | |
| | | | 0 | |
STEP 7: SUBTRACT 75 - 0 = 75
|
| | | 0 | 0 | |
6 | 0 | 0 | 7 | 5 | 0 |
| | – | 0 | | |
| | | 7 | 5 | |
| | | – | 0 | |
| | | 7 | 5 | |
STEP 8: BRING DOWN
|
| | | 0 | 0 | |
6 | 0 | 0 | 7 | 5 | 0 |
| | – | 0 | | |
| | | 7 | 5 | |
| | | – | 0 | |
| | | 7 | 5 | 0 |
STEP 9: DIVIDE 750 : 600 = 1 with a remainder of 150
|
| | | 0 | 0 | 1 |
6 | 0 | 0 | 7 | 5 | 0 |
| | – | 0 | | |
| | | 7 | 5 | |
| | | – | 0 | |
| | | 7 | 5 | 0 |
STEP 10: MULTIPLY 1 · 600 = 600
|
| | | 0 | 0 | 1 |
6 | 0 | 0 | 7 | 5 | 0 |
| | – | 0 | | |
| | | 7 | 5 | |
| | | – | 0 | |
| | | 7 | 5 | 0 |
| | | 6 | 0 | 0 |
STEP 11: SUBTRACT 750 - 600 = 150
|
| | | 0 | 0 | 1 |
6 | 0 | 0 | 7 | 5 | 0 |
| | – | 0 | | |
| | | 7 | 5 | |
| | | – | 0 | |
| | | 7 | 5 | 0 |
| | – | 6 | 0 | 0 |
| | | 1 | 5 | 0 |
STEP 11: SUBTRACT 750 - 600 = 150
|
| | | 0 | 0 | 1 |
6 | 0 | 0 | 7 | 5 | 0 |
| | – | 0 | | |
| | | 7 | 5 | |
| | | – | 0 | |
| | | 7 | 5 | 0 |
| | – | 6 | 0 | 0 |
| | | 1 | 5 | 0 |
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