We're dividing 703631 by 13 
We're looking to find how many times 13 goes into 703631.

Moving on to step 1:
13 can be fit into 7 0 times, resulting in a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Bring next digit (0) of the dividend behind the 7 and repeat the process: 70 / 13

Advancing to step 2:
If we divide 70 by 13, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Deduct 65 from 70 and we're left with 5.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 13

Moving on to step 3:
13 can be fit into 53 4 times, resulting in a remainder of 1.
Put 4 as the next digit of the answer. 
Result so far: 54.0
Subtract 52 from 53 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 13

Moving on to step 4:
16 divided by 13 is 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 541.0
The remainder is 3 after subtracting 13 from 16.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 13

On to step 5:
When dividing 33 by 13, we get 2 with a remainder of 7.
Put 2 as the next digit of the answer. 
Result so far: 5412.0
If we subtract 26 from 33, we get 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 13

Going ahead to step 6:
13 goes into 71 5 times with a remainder of 6.
Use 5 as the next digit of our solution. 
Result so far: 54125.0
Subtracting 65 from 71 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.

Moving on to step 7:
When dividing 60 by 13, we get 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 54125.4
If we subtract 52 from 60, we 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.

Advancing to step 8:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 54125.46
Deduct 78 from 80 and we're left with 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 9:
20 divided by 13 is 1 with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 54125.461
Subtract 13 from 20 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 10:
If we divide 70 by 13, we get 5 and a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 54125.4615
The remainder is 5 after subtracting 65 from 70.
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 11:
When dividing 50 by 13, we get 3 with a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 54125.46153
The remainder is 11 after subtracting 39 from 50.
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 12:
If we divide 110 by 13, we get 8 and a remainder of 6.
The next digit of our result is 8. 
Result so far: 54125.461538
If we take 104 away from 110, we end up 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.

Let's proceed to step 13:
If we divide 60 by 13, we get 4 and a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 54125.4615384
If we take 52 away from 60, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 14:
80 divided by 13 is 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 54125.46153846
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The quotient of the division is 54125.46153846, and the remainder is 2e-09.