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What is the quotient and remainder when $ 2319 $ is divided by $ 72 $ ?
Answer
The quotient is 32 and the remainder is 15.
Explanation
Division Table
|
| | 0 | 0 | 3 | 2 |
7 | 2 | 2 | 3 | 1 | 9 |
| – | 0 | | | |
| | 2 | 3 | | |
| | – | 0 | | |
| | 2 | 3 | 1 | |
| – | 2 | 1 | 6 | |
| | | 1 | 5 | 9 |
| | – | 1 | 4 | 4 |
| | | | 1 | 5 |
STEP 0: set up a division table
|
| | | | | |
7 | 2 | 2 | 3 | 1 | 9 |
STEP 1: DIVIDE 2 : 72 = 0 with a remainder of 2
|
| | 0 | | | |
7 | 2 | 2 | 3 | 1 | 9 |
STEP 2: MULTIPLY 0 · 72 = 0
|
| | 0 | | | |
7 | 2 | 2 | 3 | 1 | 9 |
| | 0 | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | 0 | | | |
7 | 2 | 2 | 3 | 1 | 9 |
| – | 0 | | | |
| | 2 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
7 | 2 | 2 | 3 | 1 | 9 |
| – | 0 | | | |
| | 2 | 3 | | |
STEP 5: DIVIDE 23 : 72 = 0 with a remainder of 23
|
| | 0 | 0 | | |
7 | 2 | 2 | 3 | 1 | 9 |
| – | 0 | | | |
| | 2 | 3 | | |
STEP 6: MULTIPLY 0 · 72 = 0
|
| | 0 | 0 | | |
7 | 2 | 2 | 3 | 1 | 9 |
| – | 0 | | | |
| | 2 | 3 | | |
| | | 0 | | |
STEP 7: SUBTRACT 23 - 0 = 23
|
| | 0 | 0 | | |
7 | 2 | 2 | 3 | 1 | 9 |
| – | 0 | | | |
| | 2 | 3 | | |
| | – | 0 | | |
| | 2 | 3 | | |
STEP 8: BRING DOWN
|
| | 0 | 0 | | |
7 | 2 | 2 | 3 | 1 | 9 |
| – | 0 | | | |
| | 2 | 3 | | |
| | – | 0 | | |
| | 2 | 3 | 1 | |
STEP 9: DIVIDE 231 : 72 = 3 with a remainder of 15
|
| | 0 | 0 | 3 | |
7 | 2 | 2 | 3 | 1 | 9 |
| – | 0 | | | |
| | 2 | 3 | | |
| | – | 0 | | |
| | 2 | 3 | 1 | |
STEP 10: MULTIPLY 3 · 72 = 216
|
| | 0 | 0 | 3 | |
7 | 2 | 2 | 3 | 1 | 9 |
| – | 0 | | | |
| | 2 | 3 | | |
| | – | 0 | | |
| | 2 | 3 | 1 | |
| | 2 | 1 | 6 | |
STEP 11: SUBTRACT 231 - 216 = 15
|
| | 0 | 0 | 3 | |
7 | 2 | 2 | 3 | 1 | 9 |
| – | 0 | | | |
| | 2 | 3 | | |
| | – | 0 | | |
| | 2 | 3 | 1 | |
| – | 2 | 1 | 6 | |
| | | 1 | 5 | |
STEP 12: BRING DOWN
|
| | 0 | 0 | 3 | |
7 | 2 | 2 | 3 | 1 | 9 |
| – | 0 | | | |
| | 2 | 3 | | |
| | – | 0 | | |
| | 2 | 3 | 1 | |
| – | 2 | 1 | 6 | |
| | | 1 | 5 | 9 |
STEP 13: DIVIDE 159 : 72 = 2 with a remainder of 15
|
| | 0 | 0 | 3 | 2 |
7 | 2 | 2 | 3 | 1 | 9 |
| – | 0 | | | |
| | 2 | 3 | | |
| | – | 0 | | |
| | 2 | 3 | 1 | |
| – | 2 | 1 | 6 | |
| | | 1 | 5 | 9 |
STEP 14: MULTIPLY 2 · 72 = 144
|
| | 0 | 0 | 3 | 2 |
7 | 2 | 2 | 3 | 1 | 9 |
| – | 0 | | | |
| | 2 | 3 | | |
| | – | 0 | | |
| | 2 | 3 | 1 | |
| – | 2 | 1 | 6 | |
| | | 1 | 5 | 9 |
| | | 1 | 4 | 4 |
STEP 15: SUBTRACT 159 - 144 = 15
|
| | 0 | 0 | 3 | 2 |
7 | 2 | 2 | 3 | 1 | 9 |
| – | 0 | | | |
| | 2 | 3 | | |
| | – | 0 | | |
| | 2 | 3 | 1 | |
| – | 2 | 1 | 6 | |
| | | 1 | 5 | 9 |
| | – | 1 | 4 | 4 |
| | | | 1 | 5 |
STEP 15: SUBTRACT 159 - 144 = 15
|
| | 0 | 0 | 3 | 2 |
7 | 2 | 2 | 3 | 1 | 9 |
| – | 0 | | | |
| | 2 | 3 | | |
| | – | 0 | | |
| | 2 | 3 | 1 | |
| – | 2 | 1 | 6 | |
| | | 1 | 5 | 9 |
| | – | 1 | 4 | 4 |
| | | | 1 | 5 |
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