We look at the division of 261884 by 59 
We want to figure out the number of times 261884 can be divided by 59.

Let's proceed to step 1:
2 divided by 59 is 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 59

Going ahead to step 2:
59 can be fit into 26 0 times, resulting in a remainder of 26.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 26 and we're left with 26.
Include the next digit (1) from the dividend after 26, then repeat: 261 / 59

Step 3:
59 goes into 261 4 times with 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.
Bring next digit (8) of the dividend behind the 25 and repeat the process: 258 / 59

Going ahead to step 4:
When dividing 258 by 59, we get 4 with a remainder of 22.
The number 4 becomes the next digit in our result. 
Result so far: 44.0
Subtracting 236 from 258 leaves us with 22.
Take the next digit (8) from the dividend and append it to 22, then repeat: 228 / 59

Step 5:
59 can be fit into 228 3 times, resulting in a remainder of 51.
Record the quotient 3 as the next digit in the result. 
Result so far: 443.0
The remainder is 51 after subtracting 177 from 228.
Append the next digit (4) from the dividend to 51 and continue with: 514 / 59

Let's proceed to step 6:
If we divide 514 by 59, we get 8 and a remainder of 42.
Write down 8 as next digit of the result. 
Result so far: 4438.0
Deduct 472 from 514 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.

On to step 7:
59 goes into 420 7 times with a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 4438.7
If we subtract 413 from 420, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 8:
59 can be fit into 70 1 times, resulting in a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 4438.71
Deduct 59 from 70 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 9:
110 divided by 59 is 1 with a remainder of 51.
Use 1 as the next digit of our solution. 
Result so far: 4438.711
If we take 59 away from 110, we end up with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

The quotient of the division is 4438.711, and the remainder is 0.0051.