Let's divide 6269374 by 13
We're looking to find how many times 13 goes into 6269374.

Step 1:
13 can be fit into 6 0 times, resulting in a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (2) from the dividend, add it to 6, then carry on: 62 / 13

On to step 2:
13 goes into 62 4 times with a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we subtract 52 from 62, we get 10.
Take the next digit (6) from the dividend and append it to 10, then repeat: 106 / 13

Moving on to step 3:
106 divided by 13 is 8 with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 48.0
Subtract 104 from 106 to get 2.
Fetch the next digit (9) from the dividend, attach it to 2 and continue: 29 / 13

Going ahead to step 4:
When dividing 29 by 13, we get 2 with a remainder of 3.
The next digit of our result is 2. 
Result so far: 482.0
Deduct 26 from 29 and we're left with 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 13

Let's proceed to step 5:
13 can be fit into 33 2 times, resulting in a remainder of 7.
The next digit of our result is 2. 
Result so far: 4822.0
If we subtract 26 from 33, we get 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 13

Going ahead to step 6:
13 goes into 77 5 times with a remainder of 12.
Write down 5 as next digit of the result. 
Result so far: 48225.0
Subtract 65 from 77 to get 12.
Append the next digit (4) from the dividend to 12 and continue with: 124 / 13

Step 7:
The number 13 fits into 124 9 times, leaving a remainder of 7.
Write down 9 as next digit of the result. 
Result so far: 482259.0
If we take 117 away from 124, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 8:
70 divided by 13 is 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 482259.5
If we take 65 away from 70, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 9:
When dividing 50 by 13, we get 3 with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 482259.53
If we subtract 39 from 50, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 10:
110 divided by 13 is 8 with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 482259.538
Subtract 104 from 110 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 11:
13 goes into 60 4 times with a remainder of 8.
The next digit of our result is 4. 
Result so far: 482259.5384
Subtracting 52 from 60 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 12:
If we divide 80 by 13, we get 6 and a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 482259.53846
If we subtract 78 from 80, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 13:
The number 13 fits into 20 1 times, leaving a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 482259.538461
Subtract 13 from 20 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 14:
When dividing 70 by 13, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 482259.5384615
Deduct 65 from 70 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 15:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 482259.53846153
Subtract 39 from 50 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

The final result is 482259.53846153 with a remainder of 1.1e-08.