Let's divide 689638 by 26
We want to figure out the number of times 689638 can be divided by 26.

Step 1:
26 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 26

On to step 2:
The number 26 fits into 68 2 times, leaving a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 52 from 68 and we're left with 16.
Fetch the next digit (9) from the dividend, attach it to 16 and continue: 169 / 26

Step 3:
26 goes into 169 6 times with a remainder of 13.
Record the quotient 6 as the next digit in the result. 
Result so far: 26.0
If we subtract 156 from 169, we get 13.
Bring next digit (6) of the dividend behind the 13 and repeat the process: 136 / 26

Going ahead to step 4:
136 divided by 26 is 5 with a remainder of 6.
The number 5 becomes the next digit in our result. 
Result so far: 265.0
If we take 130 away from 136, we end up with 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 26

Step 5:
26 can be fit into 63 2 times, resulting in a remainder of 11.
Record the quotient 2 as the next digit in the result. 
Result so far: 2652.0
Subtract 52 from 63 to get 11.
Append the next digit (8) from the dividend to 11 and continue with: 118 / 26

On to step 6:
When dividing 118 by 26, we get 4 with a remainder of 14.
Record the quotient 4 as the next digit in the result. 
Result so far: 26524.0
The remainder is 14 after subtracting 104 from 118.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 7:
140 divided by 26 is 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 26524.5
If we subtract 130 from 140, 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.

Advancing to step 8:
When dividing 100 by 26, we get 3 with a remainder of 22.
Put 3 as the next digit of the answer. 
Result so far: 26524.53
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 9:
26 can be fit into 220 8 times, resulting in a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 26524.538
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 10:
When dividing 120 by 26, we get 4 with a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 26524.5384
Subtract 104 from 120 to 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 11:
160 divided by 26 is 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 26524.53846
Subtract 156 from 160 to get 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 12:
26 can be fit into 40 1 times, resulting in a remainder of 14.
The next digit of our result is 1. 
Result so far: 26524.538461
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.

Step 13:
26 goes into 140 5 times with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 26524.5384615
If we subtract 130 from 140, 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.

On to step 14:
100 divided by 26 is 3 with a remainder of 22.
Put 3 as the next digit of the answer. 
Result so far: 26524.53846153
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.

The final result is 26524.53846153 with a remainder of 2.2e-08.