We look at the division of 13431021 by 316 
We want to figure out the number of times 13431021 can be divided by 316.

On to step 1:
316 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 316

Going ahead to step 2:
13 divided by 316 is 0 with a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 13, we get 13.
Fetch the next digit (4) from the dividend, attach it to 13 and continue: 134 / 316

Let's proceed to step 3:
If we divide 134 by 316, we get 0 and a remainder of 134.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 134 leaves us with 134.
Take the next digit (3) from the dividend and append it to 134, then repeat: 1343 / 316

Let's proceed to step 4:
316 goes into 1343 4 times with a remainder of 79.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we subtract 1264 from 1343, we get 79.
Fetch the next digit (1) from the dividend, attach it to 79 and continue: 791 / 316

Let's proceed to step 5:
The number 316 fits into 791 2 times, leaving a remainder of 159.
Record the quotient 2 as the next digit in the result. 
Result so far: 42.0
If we take 632 away from 791, we end up with 159.
Fetch the next digit (0) from the dividend, attach it to 159 and continue: 1590 / 316

Advancing to step 6:
If we divide 1590 by 316, we get 5 and a remainder of 10.
The next digit of our result is 5. 
Result so far: 425.0
The remainder is 10 after subtracting 1580 from 1590.
Include the next digit (2) from the dividend after 10, then repeat: 102 / 316

Advancing to step 7:
The number 316 fits into 102 0 times, leaving a remainder of 102.
Write down 0 as next digit of the result. 
Result so far: 4250.0
Subtract 0 from 102 to get 102.
Include the next digit (1) from the dividend after 102, then repeat: 1021 / 316

Let's proceed to step 8:
When dividing 1021 by 316, we get 3 with a remainder of 73.
The next digit of our result is 3. 
Result so far: 42503.0
Deduct 948 from 1021 and we're left with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Step 9:
316 goes into 730 2 times with a remainder of 98.
The number 2 becomes the next digit in our result. 
Result so far: 42503.2
Deduct 632 from 730 and we're left with 98.
Since there are no more digits in the dividend, we add a zero to the remainder making it 980, and continue the process.

Let's proceed to step 10:
If we divide 980 by 316, we get 3 and a remainder of 32.
Record the quotient 3 as the next digit in the result. 
Result so far: 42503.23
If we subtract 948 from 980, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 11:
320 divided by 316 is 1 with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 42503.231
The remainder is 4 after subtracting 316 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 12:
316 goes into 40 0 times with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 42503.231
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 13:
If we divide 400 by 316, we get 1 and a remainder of 84.
The number 1 becomes the next digit in our result. 
Result so far: 42503.23101
If we subtract 316 from 400, we get 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Step 14:
316 can be fit into 840 2 times, resulting in a remainder of 208.
Put 2 as the next digit of the answer. 
Result so far: 42503.231012
If we subtract 632 from 840, we get 208.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2080, and continue the process.

On to step 15:
If we divide 2080 by 316, we get 6 and a remainder of 184.
Write down 6 as next digit of the result. 
Result so far: 42503.2310126
Subtract 1896 from 2080 to get 184.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1840, and continue the process.

Advancing to step 16:
The number 316 fits into 1840 5 times, leaving a remainder of 260.
Record the quotient 5 as the next digit in the result. 
Result so far: 42503.23101265
Deduct 1580 from 1840 and we're left with 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2600, and continue the process.

After the division, we end up with 42503.23101265 and a remainder of 2.6e-07.