We're dividing 157108 by 59 
We want to figure out the number of times 157108 can be divided by 59.

Advancing to step 1:
If we divide 1 by 59, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 59

Step 2:
When dividing 15 by 59, we get 0 with a remainder of 15.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 15 after subtracting 0 from 15.
Append the next digit (7) from the dividend to 15 and continue with: 157 / 59

Going ahead to step 3:
59 can be fit into 157 2 times, resulting in a remainder of 39.
The next digit of our result is 2. 
Result so far: 2.0
Subtracting 118 from 157 leaves us with 39.
Bring next digit (1) of the dividend behind the 39 and repeat the process: 391 / 59

Advancing to step 4:
When dividing 391 by 59, we get 6 with a remainder of 37.
Use 6 as the next digit of our solution. 
Result so far: 26.0
The remainder is 37 after subtracting 354 from 391.
Grab the next digit (0) from the dividend, add it to 37, then carry on: 370 / 59

Going ahead to step 5:
59 goes into 370 6 times with a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 266.0
If we subtract 354 from 370, we get 16.
Grab the next digit (8) from the dividend, add it to 16, then carry on: 168 / 59

Going ahead to step 6:
168 divided by 59 is 2 with a remainder of 50.
Write down 2 as next digit of the result. 
Result so far: 2662.0
If we take 118 away from 168, we end up 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.

On to step 7:
59 goes into 500 8 times with a remainder of 28.
Write down 8 as next digit of the result. 
Result so far: 2662.8
Subtracting 472 from 500 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 8:
59 goes into 280 4 times with a remainder of 44.
The next digit of our result is 4. 
Result so far: 2662.84
The remainder is 44 after subtracting 236 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 9:
The number 59 fits into 440 7 times, leaving a remainder of 27.
The number 7 becomes the next digit in our result. 
Result so far: 2662.847
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.

Let's proceed to step 10:
When dividing 270 by 59, we get 4 with a remainder of 34.
The number 4 becomes the next digit in our result. 
Result so far: 2662.8474
If we take 236 away from 270, we end up 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: 2662.84745
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.

Advancing to step 12:
When dividing 450 by 59, we get 7 with a remainder of 37.
The number 7 becomes the next digit in our result. 
Result so far: 2662.847457
If we subtract 413 from 450, we 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:
370 divided by 59 is 6 with a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 2662.8474576
If we subtract 354 from 370, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 14:
The number 59 fits into 160 2 times, leaving a remainder of 42.
Put 2 as the next digit of the answer. 
Result so far: 2662.84745762
If we take 118 away from 160, we end up 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.

After the division, we end up with 2662.84745762 and a remainder of 4.2e-08.