We're dividing 219345 by 26 
We want to figure out the number of times 219345 can be divided by 26.

Advancing to step 1:
26 can be fit into 2 0 times, resulting in a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 26

Step 2:
If we divide 21 by 26, we get 0 and a remainder of 21.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 21, we get 21.
Include the next digit (9) from the dividend after 21, then repeat: 219 / 26

On to step 3:
26 goes into 219 8 times with a remainder of 11.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we take 208 away from 219, we end up with 11.
Take the next digit (3) from the dividend and append it to 11, then repeat: 113 / 26

Going ahead to step 4:
When dividing 113 by 26, we get 4 with a remainder of 9.
The number 4 becomes the next digit in our result. 
Result so far: 84.0
Subtracting 104 from 113 leaves us with 9.
Fetch the next digit (4) from the dividend, attach it to 9 and continue: 94 / 26

Let's proceed to step 5:
When dividing 94 by 26, we get 3 with a remainder of 16.
The next digit of our result is 3. 
Result so far: 843.0
Deduct 78 from 94 and we're left with 16.
Bring next digit (5) of the dividend behind the 16 and repeat the process: 165 / 26

Let's proceed to step 6:
165 divided by 26 is 6 with a remainder of 9.
The number 6 becomes the next digit in our result. 
Result so far: 8436.0
Deduct 156 from 165 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 7:
26 goes into 90 3 times with a remainder of 12.
Put 3 as the next digit of the answer. 
Result so far: 8436.3
Deduct 78 from 90 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.

Let's proceed to step 8:
If we divide 120 by 26, we get 4 and a remainder of 16.
The next digit of our result is 4. 
Result so far: 8436.34
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.

Going ahead to step 9:
26 can be fit into 160 6 times, resulting in a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 8436.346
Subtracting 156 from 160 leaves us 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.

Moving on to step 10:
26 goes into 40 1 times with a remainder of 14.
The next digit of our result is 1. 
Result so far: 8436.3461
Subtracting 26 from 40 leaves us with 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:
If we divide 140 by 26, we get 5 and a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 8436.34615
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.

Moving on to step 12:
The number 26 fits into 100 3 times, leaving a remainder of 22.
Put 3 as the next digit of the answer. 
Result so far: 8436.346153
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 13:
If we divide 220 by 26, we get 8 and a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 8436.3461538
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.

On to step 14:
26 goes into 120 4 times with a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 8436.34615384
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.

The final outcome is 8436.34615384, with a leftover of 1.6e-08.