We're dividing 157310 by 26 
We want to figure out the number of times 157310 can be divided by 26.

Advancing to step 1:
1 divided by 26 is 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 26

Let's proceed to step 2:
If we divide 15 by 26, we get 0 and a remainder of 15.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 15, we get 15.
Include the next digit (7) from the dividend after 15, then repeat: 157 / 26

Advancing to step 3:
When dividing 157 by 26, we get 6 with a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 156 from 157, we get 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 26

Moving on to step 4:
26 goes into 13 0 times with a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 60.0
Deduct 0 from 13 and we're left with 13.
Grab the next digit (1) from the dividend, add it to 13, then carry on: 131 / 26

Advancing to step 5:
131 divided by 26 is 5 with a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 605.0
Deduct 130 from 131 and we're left with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 26

On to step 6:
If we divide 10 by 26, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 6050.0
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 7:
The number 26 fits into 100 3 times, leaving a remainder of 22.
The next digit of our result is 3. 
Result so far: 6050.3
Subtract 78 from 100 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 8:
26 goes into 220 8 times with a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 6050.38
The remainder is 12 after subtracting 208 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 9:
If we divide 120 by 26, we get 4 and a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 6050.384
The remainder is 16 after subtracting 104 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 10:
26 goes into 160 6 times with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 6050.3846
The remainder is 4 after subtracting 156 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 11:
26 goes into 40 1 times with a remainder of 14.
The next digit of our result is 1. 
Result so far: 6050.38461
If we subtract 26 from 40, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 12:
26 can be fit into 140 5 times, resulting in a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 6050.384615
Subtracting 130 from 140 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 13:
26 goes into 100 3 times with a remainder of 22.
Record the quotient 3 as the next digit in the result. 
Result so far: 6050.3846153
If we subtract 78 from 100, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 14:
26 can be fit into 220 8 times, resulting in a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 6050.38461538
The remainder is 12 after subtracting 208 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Our division results in 6050.38461538 with a remaining 1.2e-08.