Let's divide 500122 by 81
Our goal is to divide 500122 by 81.

Step 1:
When dividing 5 by 81, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 81

Advancing to step 2:
If we divide 50 by 81, we get 0 and a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 50 and we're left with 50.
Take the next digit (0) from the dividend and append it to 50, then repeat: 500 / 81

Advancing to step 3:
81 goes into 500 6 times with a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 6.0
The remainder is 14 after subtracting 486 from 500.
Bring next digit (1) of the dividend behind the 14 and repeat the process: 141 / 81

Moving on to step 4:
81 goes into 141 1 times with a remainder of 60.
The next digit of our result is 1. 
Result so far: 61.0
Subtracting 81 from 141 leaves us with 60.
Grab the next digit (2) from the dividend, add it to 60, then carry on: 602 / 81

Step 5:
If we divide 602 by 81, we get 7 and a remainder of 35.
Use 7 as the next digit of our solution. 
Result so far: 617.0
Deduct 567 from 602 and we're left with 35.
Bring next digit (2) of the dividend behind the 35 and repeat the process: 352 / 81

Advancing to step 6:
The number 81 fits into 352 4 times, leaving a remainder of 28.
Use 4 as the next digit of our solution. 
Result so far: 6174.0
The remainder is 28 after subtracting 324 from 352.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 7:
The number 81 fits into 280 3 times, leaving a remainder of 37.
Put 3 as the next digit of the answer. 
Result so far: 6174.3
If we take 243 away from 280, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 8:
81 goes into 370 4 times with a remainder of 46.
Write down 4 as next digit of the result. 
Result so far: 6174.34
If we subtract 324 from 370, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 9:
460 divided by 81 is 5 with a remainder of 55.
The next digit of our result is 5. 
Result so far: 6174.345
If we take 405 away from 460, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 10:
If we divide 550 by 81, we get 6 and a remainder of 64.
Use 6 as the next digit of our solution. 
Result so far: 6174.3456
Subtracting 486 from 550 leaves us 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.

Let's proceed to step 11:
640 divided by 81 is 7 with a remainder of 73.
Write down 7 as next digit of the result. 
Result so far: 6174.34567
Deduct 567 from 640 and we're left with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Going ahead to step 12:
81 can be fit into 730 9 times, resulting in a remainder of 1.
The next digit of our result is 9. 
Result so far: 6174.345679
Subtracting 729 from 730 leaves us 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 13:
10 divided by 81 is 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 6174.345679
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 14:
If we divide 100 by 81, we get 1 and a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 6174.34567901
Subtracting 81 from 100 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

After the division, we end up with 6174.34567901 and a remainder of 1.9e-08.