583477 divided by 75 
We want to figure out the number of times 583477 can be divided by 75.

Advancing to step 1:
5 divided by 75 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 75

Going ahead to step 2:
The number 75 fits into 58 0 times, leaving a remainder of 58.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 58 leaves us with 58.
Grab the next digit (3) from the dividend, add it to 58, then carry on: 583 / 75

Advancing to step 3:
If we divide 583 by 75, we get 7 and a remainder of 58.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtract 525 from 583 to get 58.
Bring next digit (4) of the dividend behind the 58 and repeat the process: 584 / 75

On to step 4:
The number 75 fits into 584 7 times, leaving a remainder of 59.
The number 7 becomes the next digit in our result. 
Result so far: 77.0
The remainder is 59 after subtracting 525 from 584.
Include the next digit (7) from the dividend after 59, then repeat: 597 / 75

Advancing to step 5:
597 divided by 75 is 7 with a remainder of 72.
Use 7 as the next digit of our solution. 
Result so far: 777.0
The remainder is 72 after subtracting 525 from 597.
Include the next digit (7) from the dividend after 72, then repeat: 727 / 75

Advancing to step 6:
If we divide 727 by 75, we get 9 and a remainder of 52.
Write down 9 as next digit of the result. 
Result so far: 7779.0
Deduct 675 from 727 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 7:
When dividing 520 by 75, we get 6 with a remainder of 70.
Use 6 as the next digit of our solution. 
Result so far: 7779.6
If we subtract 450 from 520, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Going ahead to step 8:
When dividing 700 by 75, we get 9 with a remainder of 25.
The next digit of our result is 9. 
Result so far: 7779.69
Deduct 675 from 700 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 9:
If we divide 250 by 75, we get 3 and a remainder of 25.
Write down 3 as next digit of the result. 
Result so far: 7779.693
If we subtract 225 from 250, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 10:
When dividing 250 by 75, we get 3 with a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 7779.6933
Subtracting 225 from 250 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

After the division, we end up with 7779.6933 and a remainder of 0.00025.