261601 ÷ 77 
We want to divide 261601 by 77.

Advancing to step 1:
77 goes into 2 0 times with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 77

On to step 2:
The number 77 fits into 26 0 times, leaving a remainder of 26.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 26 after subtracting 0 from 26.
Grab the next digit (1) from the dividend, add it to 26, then carry on: 261 / 77

Advancing to step 3:
When dividing 261 by 77, we get 3 with a remainder of 30.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtract 231 from 261 to get 30.
Fetch the next digit (6) from the dividend, attach it to 30 and continue: 306 / 77

Going ahead to step 4:
The number 77 fits into 306 3 times, leaving a remainder of 75.
Write down 3 as next digit of the result. 
Result so far: 33.0
Subtracting 231 from 306 leaves us with 75.
Fetch the next digit (0) from the dividend, attach it to 75 and continue: 750 / 77

Step 5:
77 can be fit into 750 9 times, resulting in a remainder of 57.
Record the quotient 9 as the next digit in the result. 
Result so far: 339.0
Subtract 693 from 750 to get 57.
Append the next digit (1) from the dividend to 57 and continue with: 571 / 77

Moving on to step 6:
When dividing 571 by 77, we get 7 with a remainder of 32.
The next digit of our result is 7. 
Result so far: 3397.0
If we take 539 away from 571, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 7:
320 divided by 77 is 4 with a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 3397.4
Subtracting 308 from 320 leaves us with 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 8:
77 can be fit into 120 1 times, resulting in a remainder of 43.
Write down 1 as next digit of the result. 
Result so far: 3397.41
Subtract 77 from 120 to get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

On to step 9:
When dividing 430 by 77, we get 5 with a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 3397.415
If we take 385 away from 430, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 10:
The number 77 fits into 450 5 times, leaving a remainder of 65.
The number 5 becomes the next digit in our result. 
Result so far: 3397.4155
The remainder is 65 after subtracting 385 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

In conclusion, the division gives 3397.4155 with a balance of 0.00065.