Question
What is the quotient and remainder when $ 70 $ is divided by $ 34 $ ?
Answer
The quotient is 2 and the remainder is 2.
Explanation
| Division Table | |||
| 0 | 2 | ||
| 3 | 4 | 7 | 0 |
| – | 0 | ||
| 7 | 0 | ||
| – | 6 | 8 | |
| 2 | |||
|
STEP 0: set up a division table |
|||
| 3 | 4 | 7 | 0 |
|
STEP 1: DIVIDE 7 : 34 = 0 with a remainder of 7 |
|||
| 0 | |||
| 3 | 4 | 7 | 0 |
|
STEP 2: MULTIPLY 0 · 34 = 0 |
|||
| 0 | |||
| 3 | 4 | 7 | 0 |
| 0 | |||
|
STEP 3: SUBTRACT 7 - 0 = 7 |
|||
| 0 | |||
| 3 | 4 | 7 | 0 |
| – | 0 | ||
| 7 | |||
| STEP 4: BRING DOWN | |||
| 0 | |||
| 3 | 4 | 7 | 0 |
| – | 0 | ||
| 7 | 0 | ||
|
STEP 5: DIVIDE 70 : 34 = 2 with a remainder of 2 |
|||
| 0 | 2 | ||
| 3 | 4 | 7 | 0 |
| – | 0 | ||
| 7 | 0 | ||
|
STEP 6: MULTIPLY 2 · 34 = 68 |
|||
| 0 | 2 | ||
| 3 | 4 | 7 | 0 |
| – | 0 | ||
| 7 | 0 | ||
| 6 | 8 | ||
|
STEP 7: SUBTRACT 70 - 68 = 2 |
|||
| 0 | 2 | ||
| 3 | 4 | 7 | 0 |
| – | 0 | ||
| 7 | 0 | ||
| – | 6 | 8 | |
| 2 | |||
|
STEP 7: SUBTRACT 70 - 68 = 2 |
|||
| 0 | 2 | ||
| 3 | 4 | 7 | 0 |
| – | 0 | ||
| 7 | 0 | ||
| – | 6 | 8 | |
| 2 | |||
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