Question
What is the quotient and remainder when $ 98 $ is divided by $ 5 $ ?
Answer
The quotient is 19 and the remainder is 3.
Explanation
| Division Table | ||
| 1 | 9 | |
| 5 | 9 | 8 |
| – | 5 | |
| 4 | 8 | |
| – | 4 | 5 |
| 3 | ||
|
STEP 0: set up a division table |
||
| 5 | 9 | 8 |
|
STEP 1: DIVIDE 9 : 5 = 1 with a remainder of 4 |
||
| 1 | ||
| 5 | 9 | 8 |
|
STEP 2: MULTIPLY 1 · 5 = 5 |
||
| 1 | ||
| 5 | 9 | 8 |
| 5 | ||
|
STEP 3: SUBTRACT 9 - 5 = 4 |
||
| 1 | ||
| 5 | 9 | 8 |
| – | 5 | |
| 4 | ||
| STEP 4: BRING DOWN | ||
| 1 | ||
| 5 | 9 | 8 |
| – | 5 | |
| 4 | 8 | |
|
STEP 5: DIVIDE 48 : 5 = 9 with a remainder of 3 |
||
| 1 | 9 | |
| 5 | 9 | 8 |
| – | 5 | |
| 4 | 8 | |
|
STEP 6: MULTIPLY 9 · 5 = 45 |
||
| 1 | 9 | |
| 5 | 9 | 8 |
| – | 5 | |
| 4 | 8 | |
| 4 | 5 | |
|
STEP 7: SUBTRACT 48 - 45 = 3 |
||
| 1 | 9 | |
| 5 | 9 | 8 |
| – | 5 | |
| 4 | 8 | |
| – | 4 | 5 |
| 3 | ||
|
STEP 7: SUBTRACT 48 - 45 = 3 |
||
| 1 | 9 | |
| 5 | 9 | 8 |
| – | 5 | |
| 4 | 8 | |
| – | 4 | 5 |
| 3 | ||
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