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What is the quotient and remainder when $ 259 $ is divided by $ 18 $ ?
Answer
The quotient is 14 and the remainder is 7.
Explanation
Division Table
|
| | 0 | 1 | 4 |
1 | 8 | 2 | 5 | 9 |
| – | 0 | | |
| | 2 | 5 | |
| – | 1 | 8 | |
| | | 7 | 9 |
| | – | 7 | 2 |
| | | | 7 |
STEP 0: set up a division table
|
| | | | |
1 | 8 | 2 | 5 | 9 |
STEP 1: DIVIDE 2 : 18 = 0 with a remainder of 2
|
| | 0 | | |
1 | 8 | 2 | 5 | 9 |
STEP 2: MULTIPLY 0 · 18 = 0
|
| | 0 | | |
1 | 8 | 2 | 5 | 9 |
| | 0 | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | 0 | | |
1 | 8 | 2 | 5 | 9 |
| – | 0 | | |
| | 2 | | |
STEP 4: BRING DOWN
|
| | 0 | | |
1 | 8 | 2 | 5 | 9 |
| – | 0 | | |
| | 2 | 5 | |
STEP 5: DIVIDE 25 : 18 = 1 with a remainder of 7
|
| | 0 | 1 | |
1 | 8 | 2 | 5 | 9 |
| – | 0 | | |
| | 2 | 5 | |
STEP 6: MULTIPLY 1 · 18 = 18
|
| | 0 | 1 | |
1 | 8 | 2 | 5 | 9 |
| – | 0 | | |
| | 2 | 5 | |
| | 1 | 8 | |
STEP 7: SUBTRACT 25 - 18 = 7
|
| | 0 | 1 | |
1 | 8 | 2 | 5 | 9 |
| – | 0 | | |
| | 2 | 5 | |
| – | 1 | 8 | |
| | | 7 | |
STEP 8: BRING DOWN
|
| | 0 | 1 | |
1 | 8 | 2 | 5 | 9 |
| – | 0 | | |
| | 2 | 5 | |
| – | 1 | 8 | |
| | | 7 | 9 |
STEP 9: DIVIDE 79 : 18 = 4 with a remainder of 7
|
| | 0 | 1 | 4 |
1 | 8 | 2 | 5 | 9 |
| – | 0 | | |
| | 2 | 5 | |
| – | 1 | 8 | |
| | | 7 | 9 |
STEP 10: MULTIPLY 4 · 18 = 72
|
| | 0 | 1 | 4 |
1 | 8 | 2 | 5 | 9 |
| – | 0 | | |
| | 2 | 5 | |
| – | 1 | 8 | |
| | | 7 | 9 |
| | | 7 | 2 |
STEP 11: SUBTRACT 79 - 72 = 7
|
| | 0 | 1 | 4 |
1 | 8 | 2 | 5 | 9 |
| – | 0 | | |
| | 2 | 5 | |
| – | 1 | 8 | |
| | | 7 | 9 |
| | – | 7 | 2 |
| | | | 7 |
STEP 11: SUBTRACT 79 - 72 = 7
|
| | 0 | 1 | 4 |
1 | 8 | 2 | 5 | 9 |
| – | 0 | | |
| | 2 | 5 | |
| – | 1 | 8 | |
| | | 7 | 9 |
| | – | 7 | 2 |
| | | | 7 |
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