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What is the quotient and remainder when $ 1500 $ is divided by $ 1000 $ ?
Answer
The quotient is 1 and the remainder is 500.
Explanation
Division Table
|
| | | | 0 | 0 | 0 | 1 |
1 | 0 | 0 | 0 | 1 | 5 | 0 | 0 |
| | | – | 0 | | | |
| | | | 1 | 5 | | |
| | | | – | 0 | | |
| | | | 1 | 5 | 0 | |
| | | | | – | 0 | |
| | | | 1 | 5 | 0 | 0 |
| | | – | 1 | 0 | 0 | 0 |
| | | | | 5 | 0 | 0 |
STEP 0: set up a division table
|
| | | | | | | |
1 | 0 | 0 | 0 | 1 | 5 | 0 | 0 |
STEP 1: DIVIDE 1 : 1000 = 0 with a remainder of 1
|
| | | | 0 | | | |
1 | 0 | 0 | 0 | 1 | 5 | 0 | 0 |
STEP 2: MULTIPLY 0 · 1000 = 0
|
| | | | 0 | | | |
1 | 0 | 0 | 0 | 1 | 5 | 0 | 0 |
| | | | 0 | | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | | | 0 | | | |
1 | 0 | 0 | 0 | 1 | 5 | 0 | 0 |
| | | – | 0 | | | |
| | | | 1 | | | |
STEP 4: BRING DOWN
|
| | | | 0 | | | |
1 | 0 | 0 | 0 | 1 | 5 | 0 | 0 |
| | | – | 0 | | | |
| | | | 1 | 5 | | |
STEP 5: DIVIDE 15 : 1000 = 0 with a remainder of 15
|
| | | | 0 | 0 | | |
1 | 0 | 0 | 0 | 1 | 5 | 0 | 0 |
| | | – | 0 | | | |
| | | | 1 | 5 | | |
STEP 6: MULTIPLY 0 · 1000 = 0
|
| | | | 0 | 0 | | |
1 | 0 | 0 | 0 | 1 | 5 | 0 | 0 |
| | | – | 0 | | | |
| | | | 1 | 5 | | |
| | | | | 0 | | |
STEP 7: SUBTRACT 15 - 0 = 15
|
| | | | 0 | 0 | | |
1 | 0 | 0 | 0 | 1 | 5 | 0 | 0 |
| | | – | 0 | | | |
| | | | 1 | 5 | | |
| | | | – | 0 | | |
| | | | 1 | 5 | | |
STEP 8: BRING DOWN
|
| | | | 0 | 0 | | |
1 | 0 | 0 | 0 | 1 | 5 | 0 | 0 |
| | | – | 0 | | | |
| | | | 1 | 5 | | |
| | | | – | 0 | | |
| | | | 1 | 5 | 0 | |
STEP 9: DIVIDE 150 : 1000 = 0 with a remainder of 150
|
| | | | 0 | 0 | 0 | |
1 | 0 | 0 | 0 | 1 | 5 | 0 | 0 |
| | | – | 0 | | | |
| | | | 1 | 5 | | |
| | | | – | 0 | | |
| | | | 1 | 5 | 0 | |
STEP 10: MULTIPLY 0 · 1000 = 0
|
| | | | 0 | 0 | 0 | |
1 | 0 | 0 | 0 | 1 | 5 | 0 | 0 |
| | | – | 0 | | | |
| | | | 1 | 5 | | |
| | | | – | 0 | | |
| | | | 1 | 5 | 0 | |
| | | | | | 0 | |
STEP 11: SUBTRACT 150 - 0 = 150
|
| | | | 0 | 0 | 0 | |
1 | 0 | 0 | 0 | 1 | 5 | 0 | 0 |
| | | – | 0 | | | |
| | | | 1 | 5 | | |
| | | | – | 0 | | |
| | | | 1 | 5 | 0 | |
| | | | | – | 0 | |
| | | | 1 | 5 | 0 | |
STEP 12: BRING DOWN
|
| | | | 0 | 0 | 0 | |
1 | 0 | 0 | 0 | 1 | 5 | 0 | 0 |
| | | – | 0 | | | |
| | | | 1 | 5 | | |
| | | | – | 0 | | |
| | | | 1 | 5 | 0 | |
| | | | | – | 0 | |
| | | | 1 | 5 | 0 | 0 |
STEP 13: DIVIDE 1500 : 1000 = 1 with a remainder of 500
|
| | | | 0 | 0 | 0 | 1 |
1 | 0 | 0 | 0 | 1 | 5 | 0 | 0 |
| | | – | 0 | | | |
| | | | 1 | 5 | | |
| | | | – | 0 | | |
| | | | 1 | 5 | 0 | |
| | | | | – | 0 | |
| | | | 1 | 5 | 0 | 0 |
STEP 14: MULTIPLY 1 · 1000 = 1000
|
| | | | 0 | 0 | 0 | 1 |
1 | 0 | 0 | 0 | 1 | 5 | 0 | 0 |
| | | – | 0 | | | |
| | | | 1 | 5 | | |
| | | | – | 0 | | |
| | | | 1 | 5 | 0 | |
| | | | | – | 0 | |
| | | | 1 | 5 | 0 | 0 |
| | | | 1 | 0 | 0 | 0 |
STEP 15: SUBTRACT 1500 - 1000 = 500
|
| | | | 0 | 0 | 0 | 1 |
1 | 0 | 0 | 0 | 1 | 5 | 0 | 0 |
| | | – | 0 | | | |
| | | | 1 | 5 | | |
| | | | – | 0 | | |
| | | | 1 | 5 | 0 | |
| | | | | – | 0 | |
| | | | 1 | 5 | 0 | 0 |
| | | – | 1 | 0 | 0 | 0 |
| | | | | 5 | 0 | 0 |
STEP 15: SUBTRACT 1500 - 1000 = 500
|
| | | | 0 | 0 | 0 | 1 |
1 | 0 | 0 | 0 | 1 | 5 | 0 | 0 |
| | | – | 0 | | | |
| | | | 1 | 5 | | |
| | | | – | 0 | | |
| | | | 1 | 5 | 0 | |
| | | | | – | 0 | |
| | | | 1 | 5 | 0 | 0 |
| | | – | 1 | 0 | 0 | 0 |
| | | | | 5 | 0 | 0 |
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