We look at the division of 773438 by 13 
We want to divide 773438 by 13.

Advancing to step 1:
The number 13 fits into 7 0 times, leaving a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Append the next digit (7) from the dividend to 7 and continue with: 77 / 13

Moving on to step 2:
When dividing 77 by 13, we get 5 with a remainder of 12.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtracting 65 from 77 leaves us with 12.
Bring next digit (3) of the dividend behind the 12 and repeat the process: 123 / 13

Let's proceed to step 3:
If we divide 123 by 13, we get 9 and a remainder of 6.
The number 9 becomes the next digit in our result. 
Result so far: 59.0
If we take 117 away from 123, we end up with 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 13

Going ahead to step 4:
64 divided by 13 is 4 with a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 594.0
Deduct 52 from 64 and we're left with 12.
Bring next digit (3) of the dividend behind the 12 and repeat the process: 123 / 13

Moving on to step 5:
123 divided by 13 is 9 with a remainder of 6.
Record the quotient 9 as the next digit in the result. 
Result so far: 5949.0
Subtracting 117 from 123 leaves us with 6.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 13

Moving on to step 6:
If we divide 68 by 13, we get 5 and a remainder of 3.
Record the quotient 5 as the next digit in the result. 
Result so far: 59495.0
If we subtract 65 from 68, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 7:
When dividing 30 by 13, we get 2 with a remainder of 4.
The next digit of our result is 2. 
Result so far: 59495.2
Deduct 26 from 30 and we're left 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.

On to step 8:
If we divide 40 by 13, we get 3 and a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 59495.23
Deduct 39 from 40 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 9:
If we divide 10 by 13, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 59495.23
If we subtract 0 from 10, 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.

Going ahead to step 10:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 59495.2307
The remainder is 9 after subtracting 91 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 11:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 59495.23076
The remainder is 12 after subtracting 78 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 12:
The number 13 fits into 120 9 times, leaving a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 59495.230769
Subtract 117 from 120 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 13:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 59495.2307692
Deduct 26 from 30 and we're left 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 14:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 59495.23076923
Subtract 39 from 40 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The quotient of the division is 59495.23076923, and the remainder is 1e-09.