We look at the division of 260941 by 87 
We want to divide 260941 by 87.

Advancing to step 1:
2 divided by 87 is 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 87

Advancing to step 2:
87 can be fit into 26 0 times, resulting in a remainder of 26.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 26 to get 26.
Take the next digit (0) from the dividend and append it to 26, then repeat: 260 / 87

Advancing to step 3:
87 goes into 260 2 times with a remainder of 86.
The next digit of our result is 2. 
Result so far: 2.0
The remainder is 86 after subtracting 174 from 260.
Fetch the next digit (9) from the dividend, attach it to 86 and continue: 869 / 87

Going ahead to step 4:
869 divided by 87 is 9 with a remainder of 86.
Use 9 as the next digit of our solution. 
Result so far: 29.0
Subtract 783 from 869 to get 86.
Take the next digit (4) from the dividend and append it to 86, then repeat: 864 / 87

Let's proceed to step 5:
87 can be fit into 864 9 times, resulting in a remainder of 81.
The number 9 becomes the next digit in our result. 
Result so far: 299.0
Subtract 783 from 864 to get 81.
Grab the next digit (1) from the dividend, add it to 81, then carry on: 811 / 87

Advancing to step 6:
811 divided by 87 is 9 with a remainder of 28.
The next digit of our result is 9. 
Result so far: 2999.0
Subtracting 783 from 811 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 7:
The number 87 fits into 280 3 times, leaving a remainder of 19.
Record the quotient 3 as the next digit in the result. 
Result so far: 2999.3
If we take 261 away from 280, we end up 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.

Step 8:
87 can be fit into 190 2 times, resulting in a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 2999.32
If we take 174 away from 190, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 9:
When dividing 160 by 87, we get 1 with a remainder of 73.
The number 1 becomes the next digit in our result. 
Result so far: 2999.321
The remainder is 73 after subtracting 87 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Step 10:
730 divided by 87 is 8 with a remainder of 34.
Use 8 as the next digit of our solution. 
Result so far: 2999.3218
The remainder is 34 after subtracting 696 from 730.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 11:
The number 87 fits into 340 3 times, leaving a remainder of 79.
The number 3 becomes the next digit in our result. 
Result so far: 2999.32183
Subtract 261 from 340 to get 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Let's proceed to step 12:
790 divided by 87 is 9 with a remainder of 7.
Use 9 as the next digit of our solution. 
Result so far: 2999.321839
If we take 783 away from 790, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 13:
When dividing 70 by 87, we get 0 with a remainder of 70.
The next digit of our result is 0. 
Result so far: 2999.321839
Subtracting 0 from 70 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Going ahead to step 14:
700 divided by 87 is 8 with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 2999.32183908
If we take 696 away from 700, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final result is 2999.32183908 with a remainder of 4e-09.