701726 ÷ 13 
We're looking to find how many times 13 goes into 701726.

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.
Bring next digit (0) of the dividend behind the 7 and repeat the process: 70 / 13

Advancing to step 2:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we take 65 away from 70, we end up with 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 13

Going ahead to step 3:
When dividing 51 by 13, we get 3 with a remainder of 12.
Record the quotient 3 as the next digit in the result. 
Result so far: 53.0
The remainder is 12 after subtracting 39 from 51.
Include the next digit (7) from the dividend after 12, then repeat: 127 / 13

Let's proceed to step 4:
127 divided by 13 is 9 with a remainder of 10.
The number 9 becomes the next digit in our result. 
Result so far: 539.0
Subtract 117 from 127 to get 10.
Grab the next digit (2) from the dividend, add it to 10, then carry on: 102 / 13

On to step 5:
13 goes into 102 7 times with a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 5397.0
Subtract 91 from 102 to get 11.
Grab the next digit (6) from the dividend, add it to 11, then carry on: 116 / 13

Let's proceed to step 6:
When dividing 116 by 13, we get 8 with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 53978.0
If we subtract 104 from 116, we 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.

On to step 7:
When dividing 120 by 13, we get 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 53978.9
Deduct 117 from 120 and we're left 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.

On to step 8:
30 divided by 13 is 2 with a remainder of 4.
The next digit of our result is 2. 
Result so far: 53978.92
If we subtract 26 from 30, we 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.

Advancing to step 9:
If we divide 40 by 13, we get 3 and a remainder of 1.
The next digit of our result is 3. 
Result so far: 53978.923
If we subtract 39 from 40, we 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.

Let's proceed to step 10:
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: 53978.923
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.

Going ahead to step 11:
13 goes into 100 7 times with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 53978.92307
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 12:
If we divide 90 by 13, we get 6 and a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 53978.923076
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.

Going ahead to step 13:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 53978.9230769
Deduct 117 from 120 and we're left 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.

Going ahead to step 14:
When dividing 30 by 13, we get 2 with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 53978.92307692
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.

After the division, we end up with 53978.92307692 and a remainder of 4e-09.