We're dividing 769368 by 13 
We want to figure out the number of times 769368 can be divided by 13.

Advancing to step 1:
7 divided by 13 is 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 13

Moving on to step 2:
The number 13 fits into 76 5 times, leaving a remainder of 11.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtract 65 from 76 to get 11.
Append the next digit (9) from the dividend to 11 and continue with: 119 / 13

Going ahead to step 3:
13 goes into 119 9 times with a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 59.0
Subtract 117 from 119 to get 2.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 13

On to step 4:
When dividing 23 by 13, we get 1 with a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 591.0
Subtract 13 from 23 to get 10.
Append the next digit (6) from the dividend to 10 and continue with: 106 / 13

On to step 5:
106 divided by 13 is 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 5918.0
Subtracting 104 from 106 leaves us with 2.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 13

Step 6:
13 goes into 28 2 times with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 59182.0
Subtract 26 from 28 to 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.

Let's proceed to step 7:
The number 13 fits into 20 1 times, leaving a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 59182.1
The remainder is 7 after subtracting 13 from 20.
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 8:
13 goes into 70 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 59182.15
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.

Step 9:
When dividing 50 by 13, we get 3 with a remainder of 11.
The next digit of our result is 3. 
Result so far: 59182.153
Deduct 39 from 50 and we're left with 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:
If we divide 110 by 13, we get 8 and a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 59182.1538
If we subtract 104 from 110, we 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.

Step 11:
The number 13 fits into 60 4 times, leaving a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 59182.15384
If we subtract 52 from 60, we get 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:
13 goes into 80 6 times with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 59182.153846
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 13:
13 can be fit into 20 1 times, resulting in a remainder of 7.
The next digit of our result is 1. 
Result so far: 59182.1538461
Deduct 13 from 20 and we're left 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.

Moving on to step 14:
70 divided by 13 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 59182.15384615
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.

The final result is 59182.15384615 with a remainder of 5e-09.