We divide 511949 by 88
We're looking to find how many times 88 goes into 511949.

Moving on to step 1:
If we divide 5 by 88, we get 0 and a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 88

Going ahead to step 2:
If we divide 51 by 88, we get 0 and a remainder of 51.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 51 to get 51.
Bring next digit (1) of the dividend behind the 51 and repeat the process: 511 / 88

Step 3:
The number 88 fits into 511 5 times, leaving a remainder of 71.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Deduct 440 from 511 and we're left with 71.
Take the next digit (9) from the dividend and append it to 71, then repeat: 719 / 88

Step 4:
If we divide 719 by 88, we get 8 and a remainder of 15.
The number 8 becomes the next digit in our result. 
Result so far: 58.0
Subtract 704 from 719 to get 15.
Take the next digit (4) from the dividend and append it to 15, then repeat: 154 / 88

Going ahead to step 5:
When dividing 154 by 88, we get 1 with a remainder of 66.
The next digit of our result is 1. 
Result so far: 581.0
If we take 88 away from 154, we end up with 66.
Include the next digit (9) from the dividend after 66, then repeat: 669 / 88

On to step 6:
88 goes into 669 7 times with a remainder of 53.
Write down 7 as next digit of the result. 
Result so far: 5817.0
If we take 616 away from 669, we end up with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Moving on to step 7:
88 goes into 530 6 times with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 5817.6
If we take 528 away from 530, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
88 goes into 20 0 times with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 5817.6
Deduct 0 from 20 and we're left 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.

Moving on to step 9:
When dividing 200 by 88, we get 2 with a remainder of 24.
Put 2 as the next digit of the answer. 
Result so far: 5817.602
The remainder is 24 after subtracting 176 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 10:
88 goes into 240 2 times with a remainder of 64.
Record the quotient 2 as the next digit in the result. 
Result so far: 5817.6022
If we subtract 176 from 240, we get 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 5817.6022, and the remainder is 0.00064.