We're dividing 638437 by 89 
Our goal is to divide 638437 by 89.

Moving on to step 1:
If we divide 6 by 89, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 89

Advancing to step 2:
89 can be fit into 63 0 times, resulting in a remainder of 63.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 63 to get 63.
Take the next digit (8) from the dividend and append it to 63, then repeat: 638 / 89

Advancing to step 3:
The number 89 fits into 638 7 times, leaving a remainder of 15.
The next digit of our result is 7. 
Result so far: 7.0
Deduct 623 from 638 and we're left with 15.
Fetch the next digit (4) from the dividend, attach it to 15 and continue: 154 / 89

Let's proceed to step 4:
The number 89 fits into 154 1 times, leaving a remainder of 65.
Use 1 as the next digit of our solution. 
Result so far: 71.0
Subtracting 89 from 154 leaves us with 65.
Include the next digit (3) from the dividend after 65, then repeat: 653 / 89

Let's proceed to step 5:
When dividing 653 by 89, we get 7 with a remainder of 30.
Write down 7 as next digit of the result. 
Result so far: 717.0
The remainder is 30 after subtracting 623 from 653.
Grab the next digit (7) from the dividend, add it to 30, then carry on: 307 / 89

Moving on to step 6:
307 divided by 89 is 3 with a remainder of 40.
The next digit of our result is 3. 
Result so far: 7173.0
The remainder is 40 after subtracting 267 from 307.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 7:
The number 89 fits into 400 4 times, leaving a remainder of 44.
Put 4 as the next digit of the answer. 
Result so far: 7173.4
If we take 356 away from 400, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 8:
89 goes into 440 4 times with a remainder of 84.
Record the quotient 4 as the next digit in the result. 
Result so far: 7173.44
Subtracting 356 from 440 leaves us with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

The quotient of the division is 7173.44, and the remainder is 0.084.