Let's divide 172766 by 26
We want to divide 172766 by 26.

Step 1:
When dividing 1 by 26, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 26

Moving on to step 2:
26 goes into 17 0 times with a remainder of 17.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 17 to get 17.
Bring next digit (2) of the dividend behind the 17 and repeat the process: 172 / 26

Advancing to step 3:
172 divided by 26 is 6 with a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we take 156 away from 172, we end up with 16.
Take the next digit (7) from the dividend and append it to 16, then repeat: 167 / 26

Advancing to step 4:
The number 26 fits into 167 6 times, leaving a remainder of 11.
Record the quotient 6 as the next digit in the result. 
Result so far: 66.0
If we take 156 away from 167, we end up with 11.
Append the next digit (6) from the dividend to 11 and continue with: 116 / 26

Moving on to step 5:
26 goes into 116 4 times with a remainder of 12.
The next digit of our result is 4. 
Result so far: 664.0
Deduct 104 from 116 and we're left with 12.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 26

On to step 6:
The number 26 fits into 126 4 times, leaving a remainder of 22.
The next digit of our result is 4. 
Result so far: 6644.0
Subtracting 104 from 126 leaves us 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.

Going ahead to step 7:
26 goes into 220 8 times with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 6644.8
If we take 208 away from 220, we end up 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.

On to step 8:
When dividing 120 by 26, we get 4 with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 6644.84
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.

Advancing to step 9:
26 goes into 160 6 times with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 6644.846
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.

Let's proceed to step 10:
40 divided by 26 is 1 with a remainder of 14.
The number 1 becomes the next digit in our result. 
Result so far: 6644.8461
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 11:
When dividing 140 by 26, we get 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 6644.84615
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.

Advancing to step 12:
100 divided by 26 is 3 with a remainder of 22.
Put 3 as the next digit of the answer. 
Result so far: 6644.846153
Subtracting 78 from 100 leaves us 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.

Advancing to step 13:
The number 26 fits into 220 8 times, leaving a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 6644.8461538
Subtracting 208 from 220 leaves us 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.

Advancing to step 14:
120 divided by 26 is 4 with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 6644.84615384
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.

Our division results in 6644.84615384 with a remaining 1.6e-08.