We look at the division of 126098 by 81 
We want to divide 126098 by 81.

Moving on to step 1:
The number 81 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 81

Going ahead to step 2:
81 goes into 12 0 times with a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 12 after subtracting 0 from 12.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 81

Going ahead to step 3:
81 can be fit into 126 1 times, resulting in a remainder of 45.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 45 after subtracting 81 from 126.
Fetch the next digit (0) from the dividend, attach it to 45 and continue: 450 / 81

Going ahead to step 4:
If we divide 450 by 81, we get 5 and a remainder of 45.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
Subtract 405 from 450 to get 45.
Append the next digit (9) from the dividend to 45 and continue with: 459 / 81

Let's proceed to step 5:
If we divide 459 by 81, we get 5 and a remainder of 54.
Record the quotient 5 as the next digit in the result. 
Result so far: 155.0
If we take 405 away from 459, we end up with 54.
Append the next digit (8) from the dividend to 54 and continue with: 548 / 81

Advancing to step 6:
The number 81 fits into 548 6 times, leaving a remainder of 62.
Write down 6 as next digit of the result. 
Result so far: 1556.0
If we take 486 away from 548, we end up with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Going ahead to step 7:
When dividing 620 by 81, we get 7 with a remainder of 53.
Put 7 as the next digit of the answer. 
Result so far: 1556.7
Subtracting 567 from 620 leaves us with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Step 8:
If we divide 530 by 81, we get 6 and a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 1556.76
If we subtract 486 from 530, we get 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 9:
81 can be fit into 440 5 times, resulting in a remainder of 35.
The next digit of our result is 5. 
Result so far: 1556.765
Subtracting 405 from 440 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 10:
If we divide 350 by 81, we get 4 and a remainder of 26.
The number 4 becomes the next digit in our result. 
Result so far: 1556.7654
Deduct 324 from 350 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 11:
When dividing 260 by 81, we get 3 with a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 1556.76543
Subtract 243 from 260 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 12:
The number 81 fits into 170 2 times, leaving a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 1556.765432
Subtracting 162 from 170 leaves us 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.

Let's proceed to step 13:
80 divided by 81 is 0 with a remainder of 80.
The next digit of our result is 0. 
Result so far: 1556.765432
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.

Step 14:
If we divide 800 by 81, we get 9 and a remainder of 71.
Put 9 as the next digit of the answer. 
Result so far: 1556.76543209
If we take 729 away from 800, we end up with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Our division results in 1556.76543209 with a remaining 7.1e-08.