back to index
What is the quotient and remainder when $ 5000 $ is divided by $ 30 $ ?
Answer
The quotient is 166 and the remainder is 20.
Explanation
Division Table
|
| | 0 | 1 | 6 | 6 |
3 | 0 | 5 | 0 | 0 | 0 |
| – | 0 | | | |
| | 5 | 0 | | |
| – | 3 | 0 | | |
| | 2 | 0 | 0 | |
| – | 1 | 8 | 0 | |
| | | 2 | 0 | 0 |
| | – | 1 | 8 | 0 |
| | | | 2 | 0 |
STEP 0: set up a division table
|
| | | | | |
3 | 0 | 5 | 0 | 0 | 0 |
STEP 1: DIVIDE 5 : 30 = 0 with a remainder of 5
|
| | 0 | | | |
3 | 0 | 5 | 0 | 0 | 0 |
STEP 2: MULTIPLY 0 · 30 = 0
|
| | 0 | | | |
3 | 0 | 5 | 0 | 0 | 0 |
| | 0 | | | |
STEP 3: SUBTRACT 5 - 0 = 5
|
| | 0 | | | |
3 | 0 | 5 | 0 | 0 | 0 |
| – | 0 | | | |
| | 5 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
3 | 0 | 5 | 0 | 0 | 0 |
| – | 0 | | | |
| | 5 | 0 | | |
STEP 5: DIVIDE 50 : 30 = 1 with a remainder of 20
|
| | 0 | 1 | | |
3 | 0 | 5 | 0 | 0 | 0 |
| – | 0 | | | |
| | 5 | 0 | | |
STEP 6: MULTIPLY 1 · 30 = 30
|
| | 0 | 1 | | |
3 | 0 | 5 | 0 | 0 | 0 |
| – | 0 | | | |
| | 5 | 0 | | |
| | 3 | 0 | | |
STEP 7: SUBTRACT 50 - 30 = 20
|
| | 0 | 1 | | |
3 | 0 | 5 | 0 | 0 | 0 |
| – | 0 | | | |
| | 5 | 0 | | |
| – | 3 | 0 | | |
| | 2 | 0 | | |
STEP 8: BRING DOWN
|
| | 0 | 1 | | |
3 | 0 | 5 | 0 | 0 | 0 |
| – | 0 | | | |
| | 5 | 0 | | |
| – | 3 | 0 | | |
| | 2 | 0 | 0 | |
STEP 9: DIVIDE 200 : 30 = 6 with a remainder of 20
|
| | 0 | 1 | 6 | |
3 | 0 | 5 | 0 | 0 | 0 |
| – | 0 | | | |
| | 5 | 0 | | |
| – | 3 | 0 | | |
| | 2 | 0 | 0 | |
STEP 10: MULTIPLY 6 · 30 = 180
|
| | 0 | 1 | 6 | |
3 | 0 | 5 | 0 | 0 | 0 |
| – | 0 | | | |
| | 5 | 0 | | |
| – | 3 | 0 | | |
| | 2 | 0 | 0 | |
| | 1 | 8 | 0 | |
STEP 11: SUBTRACT 200 - 180 = 20
|
| | 0 | 1 | 6 | |
3 | 0 | 5 | 0 | 0 | 0 |
| – | 0 | | | |
| | 5 | 0 | | |
| – | 3 | 0 | | |
| | 2 | 0 | 0 | |
| – | 1 | 8 | 0 | |
| | | 2 | 0 | |
STEP 12: BRING DOWN
|
| | 0 | 1 | 6 | |
3 | 0 | 5 | 0 | 0 | 0 |
| – | 0 | | | |
| | 5 | 0 | | |
| – | 3 | 0 | | |
| | 2 | 0 | 0 | |
| – | 1 | 8 | 0 | |
| | | 2 | 0 | 0 |
STEP 13: DIVIDE 200 : 30 = 6 with a remainder of 20
|
| | 0 | 1 | 6 | 6 |
3 | 0 | 5 | 0 | 0 | 0 |
| – | 0 | | | |
| | 5 | 0 | | |
| – | 3 | 0 | | |
| | 2 | 0 | 0 | |
| – | 1 | 8 | 0 | |
| | | 2 | 0 | 0 |
STEP 14: MULTIPLY 6 · 30 = 180
|
| | 0 | 1 | 6 | 6 |
3 | 0 | 5 | 0 | 0 | 0 |
| – | 0 | | | |
| | 5 | 0 | | |
| – | 3 | 0 | | |
| | 2 | 0 | 0 | |
| – | 1 | 8 | 0 | |
| | | 2 | 0 | 0 |
| | | 1 | 8 | 0 |
STEP 15: SUBTRACT 200 - 180 = 20
|
| | 0 | 1 | 6 | 6 |
3 | 0 | 5 | 0 | 0 | 0 |
| – | 0 | | | |
| | 5 | 0 | | |
| – | 3 | 0 | | |
| | 2 | 0 | 0 | |
| – | 1 | 8 | 0 | |
| | | 2 | 0 | 0 |
| | – | 1 | 8 | 0 |
| | | | 2 | 0 |
STEP 15: SUBTRACT 200 - 180 = 20
|
| | 0 | 1 | 6 | 6 |
3 | 0 | 5 | 0 | 0 | 0 |
| – | 0 | | | |
| | 5 | 0 | | |
| – | 3 | 0 | | |
| | 2 | 0 | 0 | |
| – | 1 | 8 | 0 | |
| | | 2 | 0 | 0 |
| | – | 1 | 8 | 0 |
| | | | 2 | 0 |
This page was created using
Long division calculator