We divide 774612 by 13
We want to figure out the number of times 774612 can be divided by 13.

Step 1:
13 can be fit into 7 0 times, resulting in a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 13

Advancing to step 2:
If we divide 77 by 13, we get 5 and a remainder of 12.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtract 65 from 77 to get 12.
Bring next digit (4) of the dividend behind the 12 and repeat the process: 124 / 13

Going ahead to step 3:
124 divided by 13 is 9 with a remainder of 7.
The next digit of our result is 9. 
Result so far: 59.0
If we subtract 117 from 124, we get 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 13

Step 4:
76 divided by 13 is 5 with a remainder of 11.
The next digit of our result is 5. 
Result so far: 595.0
If we subtract 65 from 76, we get 11.
Include the next digit (1) from the dividend after 11, then repeat: 111 / 13

Let's proceed to step 5:
The number 13 fits into 111 8 times, leaving a remainder of 7.
The next digit of our result is 8. 
Result so far: 5958.0
Subtracting 104 from 111 leaves us with 7.
Append the next digit (2) from the dividend to 7 and continue with: 72 / 13

Advancing to step 6:
The number 13 fits into 72 5 times, leaving a remainder of 7.
The next digit of our result is 5. 
Result so far: 59585.0
Subtracting 65 from 72 leaves us 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 7:
13 goes into 70 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 59585.5
Subtract 65 from 70 to get 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 8:
13 goes into 50 3 times with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 59585.53
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.

Advancing to step 9:
110 divided by 13 is 8 with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 59585.538
Subtracting 104 from 110 leaves us with 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 10:
13 can be fit into 60 4 times, resulting in a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 59585.5384
Deduct 52 from 60 and we're left 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.

Let's proceed to step 11:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 59585.53846
Deduct 78 from 80 and we're left with 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 12:
20 divided by 13 is 1 with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 59585.538461
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.

Step 13:
The number 13 fits into 70 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 59585.5384615
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 14:
If we divide 50 by 13, we get 3 and a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 59585.53846153
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.

The final result is 59585.53846153 with a remainder of 1.1e-08.