261603 ÷ 8 
We want to figure out the number of times 261603 can be divided by 8.

Let's proceed to step 1:
The number 8 fits into 2 0 times, leaving a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 8

Going ahead to step 2:
26 divided by 8 is 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
The remainder is 2 after subtracting 24 from 26.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 8

On to step 3:
21 divided by 8 is 2 with a remainder of 5.
The number 2 becomes the next digit in our result. 
Result so far: 32.0
Subtract 16 from 21 to get 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 8

Advancing to step 4:
8 can be fit into 56 7 times, resulting in a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 327.0
If we take 56 away from 56, we end up with 0.
Grab the next digit (0) from the dividend, add it to 0, then carry on: 0 / 8

Let's proceed to step 5:
8 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 3270.0
Deduct 0 from 0 and we're left with 0.
Append the next digit (3) from the dividend to 0 and continue with: 3 / 8

On to step 6:
When dividing 3 by 8, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 32700.0
Subtract 0 from 3 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 7:
The number 8 fits into 30 3 times, leaving a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 32700.3
Deduct 24 from 30 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 8:
The number 8 fits into 60 7 times, leaving a remainder of 4.
Use 7 as the next digit of our solution. 
Result so far: 32700.37
If we subtract 56 from 60, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 9:
8 can be fit into 40 5 times, resulting in a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 32700.375
The remainder is 0 after subtracting 40 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 10:
8 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 32700.375
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 11:
When dividing 0 by 8, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 32700.375
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 32700.375 with a balance of 0.0.