756610 ÷ 13 
Let's see how many times 13 fits into 756610.

Going ahead to step 1:
13 can be fit into 7 0 times, resulting in 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.
Fetch the next digit (5) from the dividend, attach it to 7 and continue: 75 / 13

Step 2:
If we divide 75 by 13, we get 5 and a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Deduct 65 from 75 and we're left with 10.
Include the next digit (6) from the dividend after 10, then repeat: 106 / 13

On to step 3:
106 divided by 13 is 8 with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 58.0
Deduct 104 from 106 and we're left with 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 13

Let's proceed to step 4:
If we divide 26 by 13, we get 2 and a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 582.0
If we take 26 away from 26, we end up with 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 13

Going ahead to step 5:
13 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 5820.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 13

Let's proceed to step 6:
10 divided by 13 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 58200.0
Deduct 0 from 10 and we're left 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.

Advancing to step 7:
If we divide 100 by 13, we get 7 and a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 58200.7
Deduct 91 from 100 and we're left 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.

Moving on to step 8:
13 can be fit into 90 6 times, resulting in a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 58200.76
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.

On to step 9:
13 goes into 120 9 times with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 58200.769
If we take 117 away from 120, we end up with 3.
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 10:
The number 13 fits into 30 2 times, leaving a remainder of 4.
The next digit of our result is 2. 
Result so far: 58200.7692
Subtracting 26 from 30 leaves us 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.

Step 11:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 58200.76923
Subtracting 39 from 40 leaves us 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.

On to step 12:
If we divide 10 by 13, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 58200.76923
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.

Moving on to step 13:
13 can be fit into 100 7 times, resulting in a remainder of 9.
The next digit of our result is 7. 
Result so far: 58200.7692307
Subtract 91 from 100 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 14:
13 goes into 90 6 times with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 58200.76923076
Subtract 78 from 90 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final result is 58200.76923076 with a remainder of 1.2e-08.