Let's divide 770134 by 13
We want to divide 770134 by 13.

On to step 1:
13 goes into 7 0 times with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 13

On to step 2:
13 goes into 77 5 times with a remainder of 12.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtract 65 from 77 to get 12.
Bring next digit (0) of the dividend behind the 12 and repeat the process: 120 / 13

Advancing to step 3:
120 divided by 13 is 9 with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 59.0
Deduct 117 from 120 and we're left with 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 13

On to step 4:
When dividing 31 by 13, we get 2 with a remainder of 5.
The number 2 becomes the next digit in our result. 
Result so far: 592.0
If we take 26 away from 31, we end up with 5.
Include the next digit (3) from the dividend after 5, then repeat: 53 / 13

Step 5:
53 divided by 13 is 4 with a remainder of 1.
Use 4 as the next digit of our solution. 
Result so far: 5924.0
Subtracting 52 from 53 leaves us with 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 13

Going ahead to step 6:
13 goes into 14 1 times with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 59241.0
If we take 13 away from 14, we end up 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.

Going ahead to step 7:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 59241.0
Subtracting 0 from 10 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.

On to step 8:
When dividing 100 by 13, we get 7 with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 59241.07
If we take 91 away from 100, we end up 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.

Step 9:
90 divided by 13 is 6 with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 59241.076
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.

Going ahead to step 10:
13 can be fit into 120 9 times, resulting in a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 59241.0769
The remainder is 3 after subtracting 117 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 11:
13 goes into 30 2 times with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 59241.07692
Subtract 26 from 30 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 12:
13 goes into 40 3 times with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 59241.076923
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.

Advancing to step 13:
When dividing 10 by 13, we get 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 59241.076923
Subtract 0 from 10 to 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.

Step 14:
100 divided by 13 is 7 with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 59241.07692307
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.

After the division, we end up with 59241.07692307 and a remainder of 9e-09.