Question
What is the quotient and remainder when $ 45 $ is divided by $ 7 $ ?
Answer
The quotient is 6 and the remainder is 3.
Explanation
| Division Table | ||
| 0 | 6 | |
| 7 | 4 | 5 |
| – | 0 | |
| 4 | 5 | |
| – | 4 | 2 |
| 3 | ||
|
STEP 0: set up a division table |
||
| 7 | 4 | 5 |
|
STEP 1: DIVIDE 4 : 7 = 0 with a remainder of 4 |
||
| 0 | ||
| 7 | 4 | 5 |
|
STEP 2: MULTIPLY 0 · 7 = 0 |
||
| 0 | ||
| 7 | 4 | 5 |
| 0 | ||
|
STEP 3: SUBTRACT 4 - 0 = 4 |
||
| 0 | ||
| 7 | 4 | 5 |
| – | 0 | |
| 4 | ||
| STEP 4: BRING DOWN | ||
| 0 | ||
| 7 | 4 | 5 |
| – | 0 | |
| 4 | 5 | |
|
STEP 5: DIVIDE 45 : 7 = 6 with a remainder of 3 |
||
| 0 | 6 | |
| 7 | 4 | 5 |
| – | 0 | |
| 4 | 5 | |
|
STEP 6: MULTIPLY 6 · 7 = 42 |
||
| 0 | 6 | |
| 7 | 4 | 5 |
| – | 0 | |
| 4 | 5 | |
| 4 | 2 | |
|
STEP 7: SUBTRACT 45 - 42 = 3 |
||
| 0 | 6 | |
| 7 | 4 | 5 |
| – | 0 | |
| 4 | 5 | |
| – | 4 | 2 |
| 3 | ||
|
STEP 7: SUBTRACT 45 - 42 = 3 |
||
| 0 | 6 | |
| 7 | 4 | 5 |
| – | 0 | |
| 4 | 5 | |
| – | 4 | 2 |
| 3 | ||
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