88553379 ÷ 952 
We want to figure out the number of times 88553379 can be divided by 952.

Going ahead to step 1:
The number 952 fits into 8 0 times, leaving a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Take the next digit (8) from the dividend and append it to 8, then repeat: 88 / 952

On to step 2:
952 can be fit into 88 0 times, resulting in a remainder of 88.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 88 after subtracting 0 from 88.
Include the next digit (5) from the dividend after 88, then repeat: 885 / 952

Let's proceed to step 3:
885 divided by 952 is 0 with a remainder of 885.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 885 and we're left with 885.
Take the next digit (5) from the dividend and append it to 885, then repeat: 8855 / 952

Going ahead to step 4:
952 goes into 8855 9 times with a remainder of 287.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Subtract 8568 from 8855 to get 287.
Append the next digit (3) from the dividend to 287 and continue with: 2873 / 952

Going ahead to step 5:
2873 divided by 952 is 3 with a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 93.0
If we subtract 2856 from 2873, we get 17.
Append the next digit (3) from the dividend to 17 and continue with: 173 / 952

Going ahead to step 6:
The number 952 fits into 173 0 times, leaving a remainder of 173.
Put 0 as the next digit of the answer. 
Result so far: 930.0
If we subtract 0 from 173, we get 173.
Append the next digit (7) from the dividend to 173 and continue with: 1737 / 952

On to step 7:
1737 divided by 952 is 1 with a remainder of 785.
Use 1 as the next digit of our solution. 
Result so far: 9301.0
Subtract 952 from 1737 to get 785.
Append the next digit (9) from the dividend to 785 and continue with: 7859 / 952

Moving on to step 8:
If we divide 7859 by 952, we get 8 and a remainder of 243.
Put 8 as the next digit of the answer. 
Result so far: 93018.0
If we take 7616 away from 7859, we end up with 243.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2430, and continue the process.

Step 9:
The number 952 fits into 2430 2 times, leaving a remainder of 526.
Put 2 as the next digit of the answer. 
Result so far: 93018.2
Subtract 1904 from 2430 to get 526.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5260, and continue the process.

Moving on to step 10:
If we divide 5260 by 952, we get 5 and a remainder of 500.
Write down 5 as next digit of the result. 
Result so far: 93018.25
The remainder is 500 after subtracting 4760 from 5260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5000, and continue the process.

Moving on to step 11:
When dividing 5000 by 952, we get 5 with a remainder of 240.
Record the quotient 5 as the next digit in the result. 
Result so far: 93018.255
Subtract 4760 from 5000 to get 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2400, and continue the process.

The quotient of the division is 93018.255, and the remainder is 0.024.