We're dividing 261755 by 59 
We want to divide 261755 by 59.

Step 1:
59 can be fit into 2 0 times, resulting in a remainder of 2.
Write down 0 as next digit of the result. 
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 / 59

On to step 2:
26 divided by 59 is 0 with a remainder of 26.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 26, we get 26.
Fetch the next digit (1) from the dividend, attach it to 26 and continue: 261 / 59

Let's proceed to step 3:
The number 59 fits into 261 4 times, leaving a remainder of 25.
Use 4 as the next digit of our solution. 
Result so far: 4.0
The remainder is 25 after subtracting 236 from 261.
Include the next digit (7) from the dividend after 25, then repeat: 257 / 59

Let's proceed to step 4:
257 divided by 59 is 4 with a remainder of 21.
The next digit of our result is 4. 
Result so far: 44.0
The remainder is 21 after subtracting 236 from 257.
Fetch the next digit (5) from the dividend, attach it to 21 and continue: 215 / 59

Moving on to step 5:
59 goes into 215 3 times with a remainder of 38.
Use 3 as the next digit of our solution. 
Result so far: 443.0
Deduct 177 from 215 and we're left with 38.
Fetch the next digit (5) from the dividend, attach it to 38 and continue: 385 / 59

Step 6:
If we divide 385 by 59, we get 6 and a remainder of 31.
Use 6 as the next digit of our solution. 
Result so far: 4436.0
Subtract 354 from 385 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 7:
59 goes into 310 5 times with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 4436.5
If we subtract 295 from 310, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 8:
The number 59 fits into 150 2 times, leaving a remainder of 32.
Write down 2 as next digit of the result. 
Result so far: 4436.52
Subtract 118 from 150 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 9:
59 goes into 320 5 times with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 4436.525
If we take 295 away from 320, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 10:
59 goes into 250 4 times with a remainder of 14.
Record the quotient 4 as the next digit in the result. 
Result so far: 4436.5254
If we take 236 away from 250, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 11:
140 divided by 59 is 2 with a remainder of 22.
Write down 2 as next digit of the result. 
Result so far: 4436.52542
Deduct 118 from 140 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 12:
220 divided by 59 is 3 with a remainder of 43.
Record the quotient 3 as the next digit in the result. 
Result so far: 4436.525423
The remainder is 43 after subtracting 177 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 13:
The number 59 fits into 430 7 times, leaving a remainder of 17.
Write down 7 as next digit of the result. 
Result so far: 4436.5254237
Deduct 413 from 430 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 14:
59 goes into 170 2 times with a remainder of 52.
Put 2 as the next digit of the answer. 
Result so far: 4436.52542372
Deduct 118 from 170 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

In conclusion, the division gives 4436.52542372 with a balance of 5.2e-08.