757703 ÷ 13 
We want to figure out the number of times 757703 can be divided by 13.

On to step 1:
The number 13 fits into 7 0 times, leaving a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 13

Going ahead to step 2:
75 divided by 13 is 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 5.0
The remainder is 10 after subtracting 65 from 75.
Fetch the next digit (7) from the dividend, attach it to 10 and continue: 107 / 13

On to step 3:
If we divide 107 by 13, we get 8 and a remainder of 3.
Use 8 as the next digit of our solution. 
Result so far: 58.0
Subtracting 104 from 107 leaves us with 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 13

Let's proceed to step 4:
13 goes into 37 2 times with a remainder of 11.
The next digit of our result is 2. 
Result so far: 582.0
Subtracting 26 from 37 leaves us with 11.
Grab the next digit (0) from the dividend, add it to 11, then carry on: 110 / 13

On to step 5:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 5828.0
If we subtract 104 from 110, we get 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 13

Going ahead to step 6:
63 divided by 13 is 4 with a remainder of 11.
Record the quotient 4 as the next digit in the result. 
Result so far: 58284.0
Subtract 52 from 63 to 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.

Let's proceed to step 7:
If we divide 110 by 13, we get 8 and a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 58284.8
The remainder is 6 after subtracting 104 from 110.
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 8:
The number 13 fits into 60 4 times, leaving a remainder of 8.
The next digit of our result is 4. 
Result so far: 58284.84
The remainder is 8 after subtracting 52 from 60.
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 9:
When dividing 80 by 13, we get 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 58284.846
If we subtract 78 from 80, we 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.

On to step 10:
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: 58284.8461
If we take 13 away from 20, we end up 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 11:
13 goes into 70 5 times with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 58284.84615
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.

On to step 12:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 58284.846153
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.

Moving on to step 13:
13 can be fit into 110 8 times, resulting in a remainder of 6.
The next digit of our result is 8. 
Result so far: 58284.8461538
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.

On to step 14:
13 can be fit into 60 4 times, resulting in a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 58284.84615384
Subtract 52 from 60 to 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.

After the division, we end up with 58284.84615384 and a remainder of 8e-09.