We're dividing 12641317 by 213 
Our goal is to divide 12641317 by 213.

On to step 1:
213 goes into 1 0 times with 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.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 213

Let's proceed to step 2:
The number 213 fits into 12 0 times, leaving a remainder of 12.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 12 after subtracting 0 from 12.
Grab the next digit (6) from the dividend, add it to 12, then carry on: 126 / 213

Step 3:
126 divided by 213 is 0 with a remainder of 126.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 126 to get 126.
Include the next digit (4) from the dividend after 126, then repeat: 1264 / 213

Step 4:
1264 divided by 213 is 5 with a remainder of 199.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
The remainder is 199 after subtracting 1065 from 1264.
Include the next digit (1) from the dividend after 199, then repeat: 1991 / 213

Going ahead to step 5:
If we divide 1991 by 213, we get 9 and a remainder of 74.
Put 9 as the next digit of the answer. 
Result so far: 59.0
Deduct 1917 from 1991 and we're left with 74.
Bring next digit (3) of the dividend behind the 74 and repeat the process: 743 / 213

Moving on to step 6:
The number 213 fits into 743 3 times, leaving a remainder of 104.
Record the quotient 3 as the next digit in the result. 
Result so far: 593.0
Subtracting 639 from 743 leaves us with 104.
Fetch the next digit (1) from the dividend, attach it to 104 and continue: 1041 / 213

Going ahead to step 7:
1041 divided by 213 is 4 with a remainder of 189.
Record the quotient 4 as the next digit in the result. 
Result so far: 5934.0
Subtract 852 from 1041 to get 189.
Grab the next digit (7) from the dividend, add it to 189, then carry on: 1897 / 213

On to step 8:
213 goes into 1897 8 times with a remainder of 193.
The next digit of our result is 8. 
Result so far: 59348.0
If we subtract 1704 from 1897, we get 193.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1930, and continue the process.

Advancing to step 9:
When dividing 1930 by 213, we get 9 with a remainder of 13.
Write down 9 as next digit of the result. 
Result so far: 59348.9
The remainder is 13 after subtracting 1917 from 1930.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 10:
130 divided by 213 is 0 with a remainder of 130.
Put 0 as the next digit of the answer. 
Result so far: 59348.9
Deduct 0 from 130 and we're left with 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1300, and continue the process.

Going ahead to step 11:
213 can be fit into 1300 6 times, resulting in a remainder of 22.
The number 6 becomes the next digit in our result. 
Result so far: 59348.906
If we take 1278 away from 1300, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 12:
220 divided by 213 is 1 with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 59348.9061
If we take 213 away from 220, 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.

Step 13:
213 can be fit into 70 0 times, resulting in a remainder of 70.
Put 0 as the next digit of the answer. 
Result so far: 59348.9061
If we subtract 0 from 70, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 14:
When dividing 700 by 213, we get 3 with a remainder of 61.
Put 3 as the next digit of the answer. 
Result so far: 59348.906103
If we take 639 away from 700, we end up with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Advancing to step 15:
213 can be fit into 610 2 times, resulting in a remainder of 184.
Record the quotient 2 as the next digit in the result. 
Result so far: 59348.9061032
Deduct 426 from 610 and we're left with 184.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1840, and continue the process.

Let's proceed to step 16:
1840 divided by 213 is 8 with a remainder of 136.
Use 8 as the next digit of our solution. 
Result so far: 59348.90610328
Deduct 1704 from 1840 and we're left with 136.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1360, and continue the process.

In conclusion, the division gives 59348.90610328 with a balance of 1.36e-07.