Question
What is the quotient and remainder when $ 45 $ is divided by $ 35 $ ?
Answer
The quotient is 1 and the remainder is 10.
Explanation
| Division Table | |||
| 0 | 1 | ||
| 3 | 5 | 4 | 5 |
| – | 0 | ||
| 4 | 5 | ||
| – | 3 | 5 | |
| 1 | 0 | ||
|
STEP 0: set up a division table |
|||
| 3 | 5 | 4 | 5 |
|
STEP 1: DIVIDE 4 : 35 = 0 with a remainder of 4 |
|||
| 0 | |||
| 3 | 5 | 4 | 5 |
|
STEP 2: MULTIPLY 0 · 35 = 0 |
|||
| 0 | |||
| 3 | 5 | 4 | 5 |
| 0 | |||
|
STEP 3: SUBTRACT 4 - 0 = 4 |
|||
| 0 | |||
| 3 | 5 | 4 | 5 |
| – | 0 | ||
| 4 | |||
| STEP 4: BRING DOWN | |||
| 0 | |||
| 3 | 5 | 4 | 5 |
| – | 0 | ||
| 4 | 5 | ||
|
STEP 5: DIVIDE 45 : 35 = 1 with a remainder of 10 |
|||
| 0 | 1 | ||
| 3 | 5 | 4 | 5 |
| – | 0 | ||
| 4 | 5 | ||
|
STEP 6: MULTIPLY 1 · 35 = 35 |
|||
| 0 | 1 | ||
| 3 | 5 | 4 | 5 |
| – | 0 | ||
| 4 | 5 | ||
| 3 | 5 | ||
|
STEP 7: SUBTRACT 45 - 35 = 10 |
|||
| 0 | 1 | ||
| 3 | 5 | 4 | 5 |
| – | 0 | ||
| 4 | 5 | ||
| – | 3 | 5 | |
| 1 | 0 | ||
|
STEP 7: SUBTRACT 45 - 35 = 10 |
|||
| 0 | 1 | ||
| 3 | 5 | 4 | 5 |
| – | 0 | ||
| 4 | 5 | ||
| – | 3 | 5 | |
| 1 | 0 | ||
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