707413 ÷ 13 
We want to divide 707413 by 13.

Advancing to step 1:
If we divide 7 by 13, we get 0 and a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Include the next digit (0) from the dividend after 7, then repeat: 70 / 13

Step 2:
When dividing 70 by 13, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 5.0
Deduct 65 from 70 and we're left with 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 13

Let's proceed to step 3:
If we divide 57 by 13, we get 4 and a remainder of 5.
Record the quotient 4 as the next digit in the result. 
Result so far: 54.0
Deduct 52 from 57 and we're left with 5.
Grab the next digit (4) from the dividend, add it to 5, then carry on: 54 / 13

Let's proceed to step 4:
13 goes into 54 4 times with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 544.0
Deduct 52 from 54 and we're left with 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 13

Step 5:
The number 13 fits into 21 1 times, leaving a remainder of 8.
Write down 1 as next digit of the result. 
Result so far: 5441.0
Subtract 13 from 21 to get 8.
Append the next digit (3) from the dividend to 8 and continue with: 83 / 13

Going ahead to step 6:
When dividing 83 by 13, we get 6 with a remainder of 5.
Record the quotient 6 as the next digit in the result. 
Result so far: 54416.0
Subtracting 78 from 83 leaves us 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.

Moving on to step 7:
50 divided by 13 is 3 with a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 54416.3
Subtracting 39 from 50 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 8:
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: 54416.38
Deduct 104 from 110 and we're left 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.

Going ahead to step 9:
The number 13 fits into 60 4 times, leaving a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 54416.384
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 10:
80 divided by 13 is 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 54416.3846
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.

Advancing to step 11:
When dividing 20 by 13, we get 1 with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 54416.38461
Deduct 13 from 20 and we're left 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.

Advancing to step 12:
The number 13 fits into 70 5 times, leaving a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 54416.384615
If we take 65 away from 70, we end up 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.

Step 13:
The number 13 fits into 50 3 times, leaving a remainder of 11.
The next digit of our result is 3. 
Result so far: 54416.3846153
Deduct 39 from 50 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 14:
110 divided by 13 is 8 with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 54416.38461538
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.

After the division, we end up with 54416.38461538 and a remainder of 6e-09.