Let's divide 37634 by 88
We want to figure out the number of times 37634 can be divided by 88.

Step 1:
The number 88 fits into 3 0 times, leaving a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 88

Let's proceed to step 2:
37 divided by 88 is 0 with a remainder of 37.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 37 leaves us with 37.
Fetch the next digit (6) from the dividend, attach it to 37 and continue: 376 / 88

Moving on to step 3:
376 divided by 88 is 4 with a remainder of 24.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we take 352 away from 376, we end up with 24.
Include the next digit (3) from the dividend after 24, then repeat: 243 / 88

Moving on to step 4:
If we divide 243 by 88, we get 2 and a remainder of 67.
The number 2 becomes the next digit in our result. 
Result so far: 42.0
Subtracting 176 from 243 leaves us with 67.
Bring next digit (4) of the dividend behind the 67 and repeat the process: 674 / 88

Let's proceed to step 5:
88 can be fit into 674 7 times, resulting in a remainder of 58.
Write down 7 as next digit of the result. 
Result so far: 427.0
Subtracting 616 from 674 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 6:
If we divide 580 by 88, we get 6 and a remainder of 52.
The number 6 becomes the next digit in our result. 
Result so far: 427.6
Subtract 528 from 580 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 7:
If we divide 520 by 88, we get 5 and a remainder of 80.
Put 5 as the next digit of the answer. 
Result so far: 427.65
Deduct 440 from 520 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

On to step 8:
88 goes into 800 9 times with a remainder of 8.
Write down 9 as next digit of the result. 
Result so far: 427.659
The remainder is 8 after subtracting 792 from 800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 9:
80 divided by 88 is 0 with a remainder of 80.
Write down 0 as next digit of the result. 
Result so far: 427.659
If we subtract 0 from 80, we get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

On to step 10:
The number 88 fits into 800 9 times, leaving a remainder of 8.
Put 9 as the next digit of the answer. 
Result so far: 427.65909
If we take 792 away from 800, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 11:
88 can be fit into 80 0 times, resulting in a remainder of 80.
Record the quotient 0 as the next digit in the result. 
Result so far: 427.65909
If we take 0 away from 80, we end up with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Advancing to step 12:
88 can be fit into 800 9 times, resulting in a remainder of 8.
Put 9 as the next digit of the answer. 
Result so far: 427.6590909
If we take 792 away from 800, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 13:
80 divided by 88 is 0 with a remainder of 80.
Put 0 as the next digit of the answer. 
Result so far: 427.6590909
If we take 0 away from 80, we end up with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

The quotient of the division is 427.6590909, and the remainder is 8e-08.