Question
What is the quotient and remainder when $ 138 $ is divided by $ 2 $ ?
Answer
The quotient is 69 and the remainder is 0.
Explanation
| Division Table | |||
| 0 | 6 | 9 | |
| 2 | 1 | 3 | 8 |
| – | 0 | ||
| 1 | 3 | ||
| – | 1 | 2 | |
| 1 | 8 | ||
| – | 1 | 8 | |
| 0 | |||
|
STEP 0: set up a division table |
|||
| 2 | 1 | 3 | 8 |
|
STEP 1: DIVIDE 1 : 2 = 0 with a remainder of 1 |
|||
| 0 | |||
| 2 | 1 | 3 | 8 |
|
STEP 2: MULTIPLY 0 · 2 = 0 |
|||
| 0 | |||
| 2 | 1 | 3 | 8 |
| 0 | |||
|
STEP 3: SUBTRACT 1 - 0 = 1 |
|||
| 0 | |||
| 2 | 1 | 3 | 8 |
| – | 0 | ||
| 1 | |||
| STEP 4: BRING DOWN | |||
| 0 | |||
| 2 | 1 | 3 | 8 |
| – | 0 | ||
| 1 | 3 | ||
|
STEP 5: DIVIDE 13 : 2 = 6 with a remainder of 1 |
|||
| 0 | 6 | ||
| 2 | 1 | 3 | 8 |
| – | 0 | ||
| 1 | 3 | ||
|
STEP 6: MULTIPLY 6 · 2 = 12 |
|||
| 0 | 6 | ||
| 2 | 1 | 3 | 8 |
| – | 0 | ||
| 1 | 3 | ||
| 1 | 2 | ||
|
STEP 7: SUBTRACT 13 - 12 = 1 |
|||
| 0 | 6 | ||
| 2 | 1 | 3 | 8 |
| – | 0 | ||
| 1 | 3 | ||
| – | 1 | 2 | |
| 1 | |||
| STEP 8: BRING DOWN | |||
| 0 | 6 | ||
| 2 | 1 | 3 | 8 |
| – | 0 | ||
| 1 | 3 | ||
| – | 1 | 2 | |
| 1 | 8 | ||
|
STEP 9: DIVIDE 18 : 2 = 9 with a remainder of 0 |
|||
| 0 | 6 | 9 | |
| 2 | 1 | 3 | 8 |
| – | 0 | ||
| 1 | 3 | ||
| – | 1 | 2 | |
| 1 | 8 | ||
|
STEP 10: MULTIPLY 9 · 2 = 18 |
|||
| 0 | 6 | 9 | |
| 2 | 1 | 3 | 8 |
| – | 0 | ||
| 1 | 3 | ||
| – | 1 | 2 | |
| 1 | 8 | ||
| 1 | 8 | ||
|
STEP 11: SUBTRACT 18 - 18 = 0 |
|||
| 0 | 6 | 9 | |
| 2 | 1 | 3 | 8 |
| – | 0 | ||
| 1 | 3 | ||
| – | 1 | 2 | |
| 1 | 8 | ||
| – | 1 | 8 | |
| 0 | |||
|
STEP 11: SUBTRACT 18 - 18 = 0 |
|||
| 0 | 6 | 9 | |
| 2 | 1 | 3 | 8 |
| – | 0 | ||
| 1 | 3 | ||
| – | 1 | 2 | |
| 1 | 8 | ||
| – | 1 | 8 | |
| 0 | |||
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