We're dividing 638654 by 81 
Our goal is to divide 638654 by 81.

Moving on to step 1:
If we divide 6 by 81, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 81

Going ahead to step 2:
If we divide 63 by 81, we get 0 and a remainder of 63.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 63 after subtracting 0 from 63.
Fetch the next digit (8) from the dividend, attach it to 63 and continue: 638 / 81

Step 3:
81 can be fit into 638 7 times, resulting in a remainder of 71.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we subtract 567 from 638, we get 71.
Fetch the next digit (6) from the dividend, attach it to 71 and continue: 716 / 81

On to step 4:
716 divided by 81 is 8 with a remainder of 68.
Use 8 as the next digit of our solution. 
Result so far: 78.0
If we subtract 648 from 716, we get 68.
Grab the next digit (5) from the dividend, add it to 68, then carry on: 685 / 81

Advancing to step 5:
81 can be fit into 685 8 times, resulting in a remainder of 37.
Write down 8 as next digit of the result. 
Result so far: 788.0
Subtract 648 from 685 to get 37.
Grab the next digit (4) from the dividend, add it to 37, then carry on: 374 / 81

On to step 6:
374 divided by 81 is 4 with a remainder of 50.
Put 4 as the next digit of the answer. 
Result so far: 7884.0
Deduct 324 from 374 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 7:
If we divide 500 by 81, we get 6 and a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 7884.6
The remainder is 14 after subtracting 486 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 8:
If we divide 140 by 81, we get 1 and a remainder of 59.
The number 1 becomes the next digit in our result. 
Result so far: 7884.61
Subtract 81 from 140 to get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Going ahead to step 9:
If we divide 590 by 81, we get 7 and a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 7884.617
Deduct 567 from 590 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 10:
If we divide 230 by 81, we get 2 and a remainder of 68.
Write down 2 as next digit of the result. 
Result so far: 7884.6172
Subtracting 162 from 230 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Advancing to step 11:
If we divide 680 by 81, we get 8 and a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 7884.61728
Subtracting 648 from 680 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 12:
When dividing 320 by 81, we get 3 with a remainder of 77.
The next digit of our result is 3. 
Result so far: 7884.617283
Subtracting 243 from 320 leaves us with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Advancing to step 13:
The number 81 fits into 770 9 times, leaving a remainder of 41.
The number 9 becomes the next digit in our result. 
Result so far: 7884.6172839
If we take 729 away from 770, we end up with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 14:
410 divided by 81 is 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 7884.61728395
The remainder is 5 after subtracting 405 from 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Our division results in 7884.61728395 with a remaining 5e-09.