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What is the quotient and remainder when $ 52035 $ is divided by $ 1000 $ ?
Answer
The quotient is 52 and the remainder is 35.
Explanation
Division Table
|
| | | | 0 | 0 | 0 | 5 | 2 |
1 | 0 | 0 | 0 | 5 | 2 | 0 | 3 | 5 |
| | | – | 0 | | | | |
| | | | 5 | 2 | | | |
| | | | – | 0 | | | |
| | | | 5 | 2 | 0 | | |
| | | | | – | 0 | | |
| | | | 5 | 2 | 0 | 3 | |
| | | – | 5 | 0 | 0 | 0 | |
| | | | | 2 | 0 | 3 | 5 |
| | | | – | 2 | 0 | 0 | 0 |
| | | | | | | 3 | 5 |
STEP 0: set up a division table
|
| | | | | | | | |
1 | 0 | 0 | 0 | 5 | 2 | 0 | 3 | 5 |
STEP 1: DIVIDE 5 : 1000 = 0 with a remainder of 5
|
| | | | 0 | | | | |
1 | 0 | 0 | 0 | 5 | 2 | 0 | 3 | 5 |
STEP 2: MULTIPLY 0 · 1000 = 0
|
| | | | 0 | | | | |
1 | 0 | 0 | 0 | 5 | 2 | 0 | 3 | 5 |
| | | | 0 | | | | |
STEP 3: SUBTRACT 5 - 0 = 5
|
| | | | 0 | | | | |
1 | 0 | 0 | 0 | 5 | 2 | 0 | 3 | 5 |
| | | – | 0 | | | | |
| | | | 5 | | | | |
STEP 4: BRING DOWN
|
| | | | 0 | | | | |
1 | 0 | 0 | 0 | 5 | 2 | 0 | 3 | 5 |
| | | – | 0 | | | | |
| | | | 5 | 2 | | | |
STEP 5: DIVIDE 52 : 1000 = 0 with a remainder of 52
|
| | | | 0 | 0 | | | |
1 | 0 | 0 | 0 | 5 | 2 | 0 | 3 | 5 |
| | | – | 0 | | | | |
| | | | 5 | 2 | | | |
STEP 6: MULTIPLY 0 · 1000 = 0
|
| | | | 0 | 0 | | | |
1 | 0 | 0 | 0 | 5 | 2 | 0 | 3 | 5 |
| | | – | 0 | | | | |
| | | | 5 | 2 | | | |
| | | | | 0 | | | |
STEP 7: SUBTRACT 52 - 0 = 52
|
| | | | 0 | 0 | | | |
1 | 0 | 0 | 0 | 5 | 2 | 0 | 3 | 5 |
| | | – | 0 | | | | |
| | | | 5 | 2 | | | |
| | | | – | 0 | | | |
| | | | 5 | 2 | | | |
STEP 8: BRING DOWN
|
| | | | 0 | 0 | | | |
1 | 0 | 0 | 0 | 5 | 2 | 0 | 3 | 5 |
| | | – | 0 | | | | |
| | | | 5 | 2 | | | |
| | | | – | 0 | | | |
| | | | 5 | 2 | 0 | | |
STEP 9: DIVIDE 520 : 1000 = 0 with a remainder of 520
|
| | | | 0 | 0 | 0 | | |
1 | 0 | 0 | 0 | 5 | 2 | 0 | 3 | 5 |
| | | – | 0 | | | | |
| | | | 5 | 2 | | | |
| | | | – | 0 | | | |
| | | | 5 | 2 | 0 | | |
STEP 10: MULTIPLY 0 · 1000 = 0
|
| | | | 0 | 0 | 0 | | |
1 | 0 | 0 | 0 | 5 | 2 | 0 | 3 | 5 |
| | | – | 0 | | | | |
| | | | 5 | 2 | | | |
| | | | – | 0 | | | |
| | | | 5 | 2 | 0 | | |
| | | | | | 0 | | |
STEP 11: SUBTRACT 520 - 0 = 520
|
| | | | 0 | 0 | 0 | | |
1 | 0 | 0 | 0 | 5 | 2 | 0 | 3 | 5 |
| | | – | 0 | | | | |
| | | | 5 | 2 | | | |
| | | | – | 0 | | | |
| | | | 5 | 2 | 0 | | |
| | | | | – | 0 | | |
| | | | 5 | 2 | 0 | | |
STEP 12: BRING DOWN
|
| | | | 0 | 0 | 0 | | |
1 | 0 | 0 | 0 | 5 | 2 | 0 | 3 | 5 |
| | | – | 0 | | | | |
| | | | 5 | 2 | | | |
| | | | – | 0 | | | |
| | | | 5 | 2 | 0 | | |
| | | | | – | 0 | | |
| | | | 5 | 2 | 0 | 3 | |
STEP 13: DIVIDE 5203 : 1000 = 5 with a remainder of 203
|
| | | | 0 | 0 | 0 | 5 | |
1 | 0 | 0 | 0 | 5 | 2 | 0 | 3 | 5 |
| | | – | 0 | | | | |
| | | | 5 | 2 | | | |
| | | | – | 0 | | | |
| | | | 5 | 2 | 0 | | |
| | | | | – | 0 | | |
| | | | 5 | 2 | 0 | 3 | |
STEP 14: MULTIPLY 5 · 1000 = 5000
|
| | | | 0 | 0 | 0 | 5 | |
1 | 0 | 0 | 0 | 5 | 2 | 0 | 3 | 5 |
| | | – | 0 | | | | |
| | | | 5 | 2 | | | |
| | | | – | 0 | | | |
| | | | 5 | 2 | 0 | | |
| | | | | – | 0 | | |
| | | | 5 | 2 | 0 | 3 | |
| | | | 5 | 0 | 0 | 0 | |
STEP 15: SUBTRACT 5203 - 5000 = 203
|
| | | | 0 | 0 | 0 | 5 | |
1 | 0 | 0 | 0 | 5 | 2 | 0 | 3 | 5 |
| | | – | 0 | | | | |
| | | | 5 | 2 | | | |
| | | | – | 0 | | | |
| | | | 5 | 2 | 0 | | |
| | | | | – | 0 | | |
| | | | 5 | 2 | 0 | 3 | |
| | | – | 5 | 0 | 0 | 0 | |
| | | | | 2 | 0 | 3 | |
STEP 16: BRING DOWN
|
| | | | 0 | 0 | 0 | 5 | |
1 | 0 | 0 | 0 | 5 | 2 | 0 | 3 | 5 |
| | | – | 0 | | | | |
| | | | 5 | 2 | | | |
| | | | – | 0 | | | |
| | | | 5 | 2 | 0 | | |
| | | | | – | 0 | | |
| | | | 5 | 2 | 0 | 3 | |
| | | – | 5 | 0 | 0 | 0 | |
| | | | | 2 | 0 | 3 | 5 |
STEP 17: DIVIDE 2035 : 1000 = 2 with a remainder of 35
|
| | | | 0 | 0 | 0 | 5 | 2 |
1 | 0 | 0 | 0 | 5 | 2 | 0 | 3 | 5 |
| | | – | 0 | | | | |
| | | | 5 | 2 | | | |
| | | | – | 0 | | | |
| | | | 5 | 2 | 0 | | |
| | | | | – | 0 | | |
| | | | 5 | 2 | 0 | 3 | |
| | | – | 5 | 0 | 0 | 0 | |
| | | | | 2 | 0 | 3 | 5 |
STEP 18: MULTIPLY 2 · 1000 = 2000
|
| | | | 0 | 0 | 0 | 5 | 2 |
1 | 0 | 0 | 0 | 5 | 2 | 0 | 3 | 5 |
| | | – | 0 | | | | |
| | | | 5 | 2 | | | |
| | | | – | 0 | | | |
| | | | 5 | 2 | 0 | | |
| | | | | – | 0 | | |
| | | | 5 | 2 | 0 | 3 | |
| | | – | 5 | 0 | 0 | 0 | |
| | | | | 2 | 0 | 3 | 5 |
| | | | | 2 | 0 | 0 | 0 |
STEP 19: SUBTRACT 2035 - 2000 = 35
|
| | | | 0 | 0 | 0 | 5 | 2 |
1 | 0 | 0 | 0 | 5 | 2 | 0 | 3 | 5 |
| | | – | 0 | | | | |
| | | | 5 | 2 | | | |
| | | | – | 0 | | | |
| | | | 5 | 2 | 0 | | |
| | | | | – | 0 | | |
| | | | 5 | 2 | 0 | 3 | |
| | | – | 5 | 0 | 0 | 0 | |
| | | | | 2 | 0 | 3 | 5 |
| | | | – | 2 | 0 | 0 | 0 |
| | | | | | | 3 | 5 |
STEP 19: SUBTRACT 2035 - 2000 = 35
|
| | | | 0 | 0 | 0 | 5 | 2 |
1 | 0 | 0 | 0 | 5 | 2 | 0 | 3 | 5 |
| | | – | 0 | | | | |
| | | | 5 | 2 | | | |
| | | | – | 0 | | | |
| | | | 5 | 2 | 0 | | |
| | | | | – | 0 | | |
| | | | 5 | 2 | 0 | 3 | |
| | | – | 5 | 0 | 0 | 0 | |
| | | | | 2 | 0 | 3 | 5 |
| | | | – | 2 | 0 | 0 | 0 |
| | | | | | | 3 | 5 |
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