We look at the division of 637638 by 89 
Let's see how many times 89 fits into 637638.

Moving on to step 1:
89 can be fit into 6 0 times, resulting in a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 89

Let's proceed to step 2:
When dividing 63 by 89, we get 0 with a remainder of 63.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 63 after subtracting 0 from 63.
Grab the next digit (7) from the dividend, add it to 63, then carry on: 637 / 89

Going ahead to step 3:
The number 89 fits into 637 7 times, leaving a remainder of 14.
The next digit of our result is 7. 
Result so far: 7.0
The remainder is 14 after subtracting 623 from 637.
Include the next digit (6) from the dividend after 14, then repeat: 146 / 89

Advancing to step 4:
89 can be fit into 146 1 times, resulting in a remainder of 57.
The number 1 becomes the next digit in our result. 
Result so far: 71.0
Subtracting 89 from 146 leaves us with 57.
Append the next digit (3) from the dividend to 57 and continue with: 573 / 89

Moving on to step 5:
89 goes into 573 6 times with a remainder of 39.
Put 6 as the next digit of the answer. 
Result so far: 716.0
Subtracting 534 from 573 leaves us with 39.
Append the next digit (8) from the dividend to 39 and continue with: 398 / 89

Going ahead to step 6:
The number 89 fits into 398 4 times, leaving a remainder of 42.
Write down 4 as next digit of the result. 
Result so far: 7164.0
Deduct 356 from 398 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 7:
89 can be fit into 420 4 times, resulting in a remainder of 64.
Use 4 as the next digit of our solution. 
Result so far: 7164.4
Deduct 356 from 420 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.

Step 8:
640 divided by 89 is 7 with a remainder of 17.
Record the quotient 7 as the next digit in the result. 
Result so far: 7164.47
Deduct 623 from 640 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 9:
When dividing 170 by 89, we get 1 with a remainder of 81.
Record the quotient 1 as the next digit in the result. 
Result so far: 7164.471
If we take 89 away from 170, we end up with 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Let's proceed to step 10:
89 can be fit into 810 9 times, resulting in a remainder of 9.
The next digit of our result is 9. 
Result so far: 7164.4719
If we take 801 away from 810, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 11:
89 can be fit into 90 1 times, resulting in a remainder of 1.
The next digit of our result is 1. 
Result so far: 7164.47191
If we take 89 away from 90, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 12:
If we divide 10 by 89, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 7164.47191
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 13:
89 can be fit into 100 1 times, resulting in a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 7164.4719101
Subtract 89 from 100 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 14:
When dividing 110 by 89, we get 1 with a remainder of 21.
Record the quotient 1 as the next digit in the result. 
Result so far: 7164.47191011
Subtracting 89 from 110 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

The quotient of the division is 7164.47191011, and the remainder is 2.1e-08.