We look at the division of 159922 by 26 
We want to divide 159922 by 26.

Moving on to step 1:
26 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 26

Step 2:
15 divided by 26 is 0 with a remainder of 15.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 15 and we're left with 15.
Append the next digit (9) from the dividend to 15 and continue with: 159 / 26

Moving on to step 3:
The number 26 fits into 159 6 times, leaving a remainder of 3.
The next digit of our result is 6. 
Result so far: 6.0
The remainder is 3 after subtracting 156 from 159.
Fetch the next digit (9) from the dividend, attach it to 3 and continue: 39 / 26

Moving on to step 4:
26 goes into 39 1 times with a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 61.0
Subtract 26 from 39 to get 13.
Grab the next digit (2) from the dividend, add it to 13, then carry on: 132 / 26

On to step 5:
132 divided by 26 is 5 with a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 615.0
Subtract 130 from 132 to get 2.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 26

Moving on to step 6:
The number 26 fits into 22 0 times, leaving a remainder of 22.
The next digit of our result is 0. 
Result so far: 6150.0
If we subtract 0 from 22, 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 7:
220 divided by 26 is 8 with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 6150.8
Deduct 208 from 220 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 8:
If we divide 120 by 26, we get 4 and a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 6150.84
Subtracting 104 from 120 leaves us 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.

On to step 9:
The number 26 fits into 160 6 times, leaving a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 6150.846
Deduct 156 from 160 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 10:
When dividing 40 by 26, we get 1 with a remainder of 14.
The next digit of our result is 1. 
Result so far: 6150.8461
The remainder is 14 after subtracting 26 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 11:
The number 26 fits into 140 5 times, leaving a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 6150.84615
If we take 130 away from 140, we end up 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.

Advancing to step 12:
When dividing 100 by 26, we get 3 with a remainder of 22.
Use 3 as the next digit of our solution. 
Result so far: 6150.846153
If we take 78 away from 100, we end up with 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 13:
When dividing 220 by 26, we get 8 with a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 6150.8461538
If we subtract 208 from 220, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 14:
120 divided by 26 is 4 with a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 6150.84615384
If we subtract 104 from 120, 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.

After the division, we end up with 6150.84615384 and a remainder of 1.6e-08.