Let's divide 260103 by 81
We're looking to find how many times 81 goes into 260103.

Going ahead to step 1:
If we divide 2 by 81, we get 0 and a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 81

On to step 2:
When dividing 26 by 81, we get 0 with a remainder of 26.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 26 after subtracting 0 from 26.
Include the next digit (0) from the dividend after 26, then repeat: 260 / 81

Going ahead to step 3:
The number 81 fits into 260 3 times, leaving a remainder of 17.
Write down 3 as next digit of the result. 
Result so far: 3.0
Deduct 243 from 260 and we're left with 17.
Bring next digit (1) of the dividend behind the 17 and repeat the process: 171 / 81

Let's proceed to step 4:
When dividing 171 by 81, we get 2 with a remainder of 9.
Put 2 as the next digit of the answer. 
Result so far: 32.0
Deduct 162 from 171 and we're left with 9.
Grab the next digit (0) from the dividend, add it to 9, then carry on: 90 / 81

On to step 5:
If we divide 90 by 81, we get 1 and a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 321.0
If we subtract 81 from 90, we get 9.
Take the next digit (3) from the dividend and append it to 9, then repeat: 93 / 81

Advancing to step 6:
81 goes into 93 1 times with a remainder of 12.
Record the quotient 1 as the next digit in the result. 
Result so far: 3211.0
Subtract 81 from 93 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 7:
81 goes into 120 1 times with a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 3211.1
If we take 81 away from 120, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 8:
The number 81 fits into 390 4 times, leaving a remainder of 66.
The next digit of our result is 4. 
Result so far: 3211.14
Subtract 324 from 390 to get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Moving on to step 9:
When dividing 660 by 81, we get 8 with a remainder of 12.
The next digit of our result is 8. 
Result so far: 3211.148
If we subtract 648 from 660, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 10:
When dividing 120 by 81, we get 1 with a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 3211.1481
Deduct 81 from 120 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Step 11:
If we divide 390 by 81, we get 4 and a remainder of 66.
Record the quotient 4 as the next digit in the result. 
Result so far: 3211.14814
Subtract 324 from 390 to get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Going ahead to step 12:
81 can be fit into 660 8 times, resulting in a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 3211.148148
If we subtract 648 from 660, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 13:
If we divide 120 by 81, we get 1 and a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 3211.1481481
If we take 81 away from 120, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Step 14:
When dividing 390 by 81, we get 4 with a remainder of 66.
Record the quotient 4 as the next digit in the result. 
Result so far: 3211.14814814
Subtract 324 from 390 to get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

After the division, we end up with 3211.14814814 and a remainder of 6.6e-08.