We look at the division of 261184 by 59 
We're looking to find how many times 59 goes into 261184.

Moving on to step 1:
59 goes into 2 0 times with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 59

Step 2:
When dividing 26 by 59, we get 0 with a remainder of 26.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 26, we get 26.
Take the next digit (1) from the dividend and append it to 26, then repeat: 261 / 59

Step 3:
If we divide 261 by 59, we get 4 and a remainder of 25.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtract 236 from 261 to get 25.
Include the next digit (1) from the dividend after 25, then repeat: 251 / 59

Moving on to step 4:
251 divided by 59 is 4 with a remainder of 15.
Write down 4 as next digit of the result. 
Result so far: 44.0
If we subtract 236 from 251, we get 15.
Fetch the next digit (8) from the dividend, attach it to 15 and continue: 158 / 59

On to step 5:
59 goes into 158 2 times with a remainder of 40.
Use 2 as the next digit of our solution. 
Result so far: 442.0
Subtract 118 from 158 to get 40.
Grab the next digit (4) from the dividend, add it to 40, then carry on: 404 / 59

Let's proceed to step 6:
When dividing 404 by 59, we get 6 with a remainder of 50.
Use 6 as the next digit of our solution. 
Result so far: 4426.0
Deduct 354 from 404 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 7:
If we divide 500 by 59, we get 8 and a remainder of 28.
The number 8 becomes the next digit in our result. 
Result so far: 4426.8
Subtract 472 from 500 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 8:
If we divide 280 by 59, we get 4 and a remainder of 44.
Record the quotient 4 as the next digit in the result. 
Result so far: 4426.84
Subtract 236 from 280 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 9:
If we divide 440 by 59, we get 7 and a remainder of 27.
Put 7 as the next digit of the answer. 
Result so far: 4426.847
The remainder is 27 after subtracting 413 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 10:
59 goes into 270 4 times with a remainder of 34.
Use 4 as the next digit of our solution. 
Result so far: 4426.8474
Subtracting 236 from 270 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 11:
The number 59 fits into 340 5 times, leaving a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 4426.84745
Deduct 295 from 340 and we're left 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 12:
When dividing 450 by 59, we get 7 with a remainder of 37.
Record the quotient 7 as the next digit in the result. 
Result so far: 4426.847457
Subtract 413 from 450 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 13:
The number 59 fits into 370 6 times, leaving a remainder of 16.
The next digit of our result is 6. 
Result so far: 4426.8474576
Deduct 354 from 370 and we're left 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.

Step 14:
160 divided by 59 is 2 with a remainder of 42.
Record the quotient 2 as the next digit in the result. 
Result so far: 4426.84745762
Deduct 118 from 160 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

The quotient of the division is 4426.84745762, and the remainder is 4.2e-08.