We look at the division of 438725 by 26 
We want to figure out the number of times 438725 can be divided by 26.

Step 1:
4 divided by 26 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 26

Step 2:
26 can be fit into 43 1 times, resulting in a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 26 from 43 and we're left with 17.
Fetch the next digit (8) from the dividend, attach it to 17 and continue: 178 / 26

On to step 3:
178 divided by 26 is 6 with a remainder of 22.
The next digit of our result is 6. 
Result so far: 16.0
Subtracting 156 from 178 leaves us with 22.
Fetch the next digit (7) from the dividend, attach it to 22 and continue: 227 / 26

Let's proceed to step 4:
The number 26 fits into 227 8 times, leaving a remainder of 19.
Write down 8 as next digit of the result. 
Result so far: 168.0
Deduct 208 from 227 and we're left with 19.
Append the next digit (2) from the dividend to 19 and continue with: 192 / 26

On to step 5:
26 can be fit into 192 7 times, resulting in a remainder of 10.
Put 7 as the next digit of the answer. 
Result so far: 1687.0
Subtract 182 from 192 to get 10.
Bring next digit (5) of the dividend behind the 10 and repeat the process: 105 / 26

Moving on to step 6:
26 can be fit into 105 4 times, resulting in a remainder of 1.
The next digit of our result is 4. 
Result so far: 16874.0
The remainder is 1 after subtracting 104 from 105.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
26 can be fit into 10 0 times, resulting in a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 16874.0
If we subtract 0 from 10, we get 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 8:
The number 26 fits into 100 3 times, leaving a remainder of 22.
The next digit of our result is 3. 
Result so far: 16874.03
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.

Let's proceed to step 9:
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: 16874.038
Subtract 208 from 220 to 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.

Advancing to step 10:
26 can be fit into 120 4 times, resulting in a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 16874.0384
If we take 104 away from 120, we end up 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 11:
26 goes into 160 6 times with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 16874.03846
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.

Going ahead to step 12:
40 divided by 26 is 1 with a remainder of 14.
The next digit of our result is 1. 
Result so far: 16874.038461
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 13:
When dividing 140 by 26, we get 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 16874.0384615
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.

Going ahead to step 14:
100 divided by 26 is 3 with a remainder of 22.
Use 3 as the next digit of our solution. 
Result so far: 16874.03846153
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.

The final result is 16874.03846153 with a remainder of 2.2e-08.