Let's divide 513731 by 88
Our goal is to divide 513731 by 88.

Step 1:
If we divide 5 by 88, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 88

Step 2:
The number 88 fits into 51 0 times, leaving a remainder of 51.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 51, we end up with 51.
Fetch the next digit (3) from the dividend, attach it to 51 and continue: 513 / 88

Going ahead to step 3:
When dividing 513 by 88, we get 5 with a remainder of 73.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we subtract 440 from 513, we get 73.
Take the next digit (7) from the dividend and append it to 73, then repeat: 737 / 88

On to step 4:
If we divide 737 by 88, we get 8 and a remainder of 33.
Write down 8 as next digit of the result. 
Result so far: 58.0
Deduct 704 from 737 and we're left with 33.
Bring next digit (3) of the dividend behind the 33 and repeat the process: 333 / 88

Step 5:
88 can be fit into 333 3 times, resulting in a remainder of 69.
Use 3 as the next digit of our solution. 
Result so far: 583.0
The remainder is 69 after subtracting 264 from 333.
Fetch the next digit (1) from the dividend, attach it to 69 and continue: 691 / 88

Going ahead to step 6:
If we divide 691 by 88, we get 7 and a remainder of 75.
Record the quotient 7 as the next digit in the result. 
Result so far: 5837.0
Subtract 616 from 691 to get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

On to step 7:
When dividing 750 by 88, we get 8 with a remainder of 46.
Put 8 as the next digit of the answer. 
Result so far: 5837.8
If we take 704 away from 750, we end up with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 8:
When dividing 460 by 88, we get 5 with a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 5837.85
Subtracting 440 from 460 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 9:
88 goes into 200 2 times with a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 5837.852
Subtracting 176 from 200 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 10:
88 goes into 240 2 times with a remainder of 64.
The next digit of our result is 2. 
Result so far: 5837.8522
Deduct 176 from 240 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

The quotient of the division is 5837.8522, and the remainder is 0.00064.