Question
What is the quotient and remainder when $ 815 $ is divided by $ 2 $ ?
Answer
The quotient is 407 and the remainder is 1.
Explanation
| Division Table | |||
| 4 | 0 | 7 | |
| 2 | 8 | 1 | 5 |
| – | 8 | ||
| 1 | |||
| – | 0 | ||
| 1 | 5 | ||
| – | 1 | 4 | |
| 1 | |||
|
STEP 0: set up a division table |
|||
| 2 | 8 | 1 | 5 |
|
STEP 1: DIVIDE 8 : 2 = 4 with a remainder of 0 |
|||
| 4 | |||
| 2 | 8 | 1 | 5 |
|
STEP 2: MULTIPLY 4 · 2 = 8 |
|||
| 4 | |||
| 2 | 8 | 1 | 5 |
| 8 | |||
|
STEP 3: SUBTRACT 8 - 8 = 0 |
|||
| 4 | |||
| 2 | 8 | 1 | 5 |
| – | 8 | ||
| 0 | |||
| STEP 4: BRING DOWN | |||
| 4 | |||
| 2 | 8 | 1 | 5 |
| – | 8 | ||
| 1 | |||
|
STEP 5: DIVIDE 1 : 2 = 0 with a remainder of 1 |
|||
| 4 | 0 | ||
| 2 | 8 | 1 | 5 |
| – | 8 | ||
| 1 | |||
|
STEP 6: MULTIPLY 0 · 2 = 0 |
|||
| 4 | 0 | ||
| 2 | 8 | 1 | 5 |
| – | 8 | ||
| 1 | |||
| 0 | |||
|
STEP 7: SUBTRACT 1 - 0 = 1 |
|||
| 4 | 0 | ||
| 2 | 8 | 1 | 5 |
| – | 8 | ||
| 1 | |||
| – | 0 | ||
| 1 | |||
| STEP 8: BRING DOWN | |||
| 4 | 0 | ||
| 2 | 8 | 1 | 5 |
| – | 8 | ||
| 1 | |||
| – | 0 | ||
| 1 | 5 | ||
|
STEP 9: DIVIDE 15 : 2 = 7 with a remainder of 1 |
|||
| 4 | 0 | 7 | |
| 2 | 8 | 1 | 5 |
| – | 8 | ||
| 1 | |||
| – | 0 | ||
| 1 | 5 | ||
|
STEP 10: MULTIPLY 7 · 2 = 14 |
|||
| 4 | 0 | 7 | |
| 2 | 8 | 1 | 5 |
| – | 8 | ||
| 1 | |||
| – | 0 | ||
| 1 | 5 | ||
| 1 | 4 | ||
|
STEP 11: SUBTRACT 15 - 14 = 1 |
|||
| 4 | 0 | 7 | |
| 2 | 8 | 1 | 5 |
| – | 8 | ||
| 1 | |||
| – | 0 | ||
| 1 | 5 | ||
| – | 1 | 4 | |
| 1 | |||
|
STEP 11: SUBTRACT 15 - 14 = 1 |
|||
| 4 | 0 | 7 | |
| 2 | 8 | 1 | 5 |
| – | 8 | ||
| 1 | |||
| – | 0 | ||
| 1 | 5 | ||
| – | 1 | 4 | |
| 1 | |||
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