We're dividing 187417 by 59 
We want to figure out the number of times 187417 can be divided by 59.

On to step 1:
When dividing 1 by 59, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 59

Step 2:
The number 59 fits into 18 0 times, leaving a remainder of 18.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 18 after subtracting 0 from 18.
Grab the next digit (7) from the dividend, add it to 18, then carry on: 187 / 59

Moving on to step 3:
When dividing 187 by 59, we get 3 with a remainder of 10.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtracting 177 from 187 leaves us with 10.
Grab the next digit (4) from the dividend, add it to 10, then carry on: 104 / 59

Going ahead to step 4:
The number 59 fits into 104 1 times, leaving a remainder of 45.
The next digit of our result is 1. 
Result so far: 31.0
Subtracting 59 from 104 leaves us with 45.
Include the next digit (1) from the dividend after 45, then repeat: 451 / 59

On to step 5:
451 divided by 59 is 7 with a remainder of 38.
The number 7 becomes the next digit in our result. 
Result so far: 317.0
If we subtract 413 from 451, we get 38.
Take the next digit (7) from the dividend and append it to 38, then repeat: 387 / 59

Going ahead to step 6:
59 can be fit into 387 6 times, resulting in a remainder of 33.
Write down 6 as next digit of the result. 
Result so far: 3176.0
If we subtract 354 from 387, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 7:
The number 59 fits into 330 5 times, leaving a remainder of 35.
The next digit of our result is 5. 
Result so far: 3176.5
Subtract 295 from 330 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 8:
The number 59 fits into 350 5 times, leaving a remainder of 55.
Write down 5 as next digit of the result. 
Result so far: 3176.55
Deduct 295 from 350 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

The quotient of the division is 3176.55, and the remainder is 0.055.