Question
What is the quotient and remainder when $ 3500 $ is divided by $ 2 $ ?
Answer
The quotient is 1750 and the remainder is 0.
Explanation
| Division Table | ||||
| 1 | 7 | 5 | 0 | |
| 2 | 3 | 5 | 0 | 0 |
| – | 2 | |||
| 1 | 5 | |||
| – | 1 | 4 | ||
| 1 | 0 | |||
| – | 1 | 0 | ||
| 0 | ||||
| – | 0 | |||
| 0 | ||||
|
STEP 0: set up a division table |
||||
| 2 | 3 | 5 | 0 | 0 |
|
STEP 1: DIVIDE 3 : 2 = 1 with a remainder of 1 |
||||
| 1 | ||||
| 2 | 3 | 5 | 0 | 0 |
|
STEP 2: MULTIPLY 1 · 2 = 2 |
||||
| 1 | ||||
| 2 | 3 | 5 | 0 | 0 |
| 2 | ||||
|
STEP 3: SUBTRACT 3 - 2 = 1 |
||||
| 1 | ||||
| 2 | 3 | 5 | 0 | 0 |
| – | 2 | |||
| 1 | ||||
| STEP 4: BRING DOWN | ||||
| 1 | ||||
| 2 | 3 | 5 | 0 | 0 |
| – | 2 | |||
| 1 | 5 | |||
|
STEP 5: DIVIDE 15 : 2 = 7 with a remainder of 1 |
||||
| 1 | 7 | |||
| 2 | 3 | 5 | 0 | 0 |
| – | 2 | |||
| 1 | 5 | |||
|
STEP 6: MULTIPLY 7 · 2 = 14 |
||||
| 1 | 7 | |||
| 2 | 3 | 5 | 0 | 0 |
| – | 2 | |||
| 1 | 5 | |||
| 1 | 4 | |||
|
STEP 7: SUBTRACT 15 - 14 = 1 |
||||
| 1 | 7 | |||
| 2 | 3 | 5 | 0 | 0 |
| – | 2 | |||
| 1 | 5 | |||
| – | 1 | 4 | ||
| 1 | ||||
| STEP 8: BRING DOWN | ||||
| 1 | 7 | |||
| 2 | 3 | 5 | 0 | 0 |
| – | 2 | |||
| 1 | 5 | |||
| – | 1 | 4 | ||
| 1 | 0 | |||
|
STEP 9: DIVIDE 10 : 2 = 5 with a remainder of 0 |
||||
| 1 | 7 | 5 | ||
| 2 | 3 | 5 | 0 | 0 |
| – | 2 | |||
| 1 | 5 | |||
| – | 1 | 4 | ||
| 1 | 0 | |||
|
STEP 10: MULTIPLY 5 · 2 = 10 |
||||
| 1 | 7 | 5 | ||
| 2 | 3 | 5 | 0 | 0 |
| – | 2 | |||
| 1 | 5 | |||
| – | 1 | 4 | ||
| 1 | 0 | |||
| 1 | 0 | |||
|
STEP 11: SUBTRACT 10 - 10 = 0 |
||||
| 1 | 7 | 5 | ||
| 2 | 3 | 5 | 0 | 0 |
| – | 2 | |||
| 1 | 5 | |||
| – | 1 | 4 | ||
| 1 | 0 | |||
| – | 1 | 0 | ||
| 0 | ||||
| STEP 12: BRING DOWN | ||||
| 1 | 7 | 5 | ||
| 2 | 3 | 5 | 0 | 0 |
| – | 2 | |||
| 1 | 5 | |||
| – | 1 | 4 | ||
| 1 | 0 | |||
| – | 1 | 0 | ||
| 0 | ||||
|
STEP 13: DIVIDE 0 : 2 = 0 with a remainder of 0 |
||||
| 1 | 7 | 5 | 0 | |
| 2 | 3 | 5 | 0 | 0 |
| – | 2 | |||
| 1 | 5 | |||
| – | 1 | 4 | ||
| 1 | 0 | |||
| – | 1 | 0 | ||
| 0 | ||||
|
STEP 14: MULTIPLY 0 · 2 = 0 |
||||
| 1 | 7 | 5 | 0 | |
| 2 | 3 | 5 | 0 | 0 |
| – | 2 | |||
| 1 | 5 | |||
| – | 1 | 4 | ||
| 1 | 0 | |||
| – | 1 | 0 | ||
| 0 | ||||
| 0 | ||||
|
STEP 15: SUBTRACT 0 - 0 = 0 |
||||
| 1 | 7 | 5 | 0 | |
| 2 | 3 | 5 | 0 | 0 |
| – | 2 | |||
| 1 | 5 | |||
| – | 1 | 4 | ||
| 1 | 0 | |||
| – | 1 | 0 | ||
| 0 | ||||
| – | 0 | |||
| 0 | ||||
|
STEP 15: SUBTRACT 0 - 0 = 0 |
||||
| 1 | 7 | 5 | 0 | |
| 2 | 3 | 5 | 0 | 0 |
| – | 2 | |||
| 1 | 5 | |||
| – | 1 | 4 | ||
| 1 | 0 | |||
| – | 1 | 0 | ||
| 0 | ||||
| – | 0 | |||
| 0 | ||||
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