We look at the division of 213310 by 17 
We want to divide 213310 by 17.

On to step 1:
17 can be fit into 2 0 times, resulting in a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 17

Advancing to step 2:
17 goes into 21 1 times with a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 17 from 21 to get 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 17

Moving on to step 3:
17 goes into 43 2 times with a remainder of 9.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
Subtracting 34 from 43 leaves us with 9.
Grab the next digit (3) from the dividend, add it to 9, then carry on: 93 / 17

Going ahead to step 4:
17 goes into 93 5 times with a remainder of 8.
Use 5 as the next digit of our solution. 
Result so far: 125.0
Subtract 85 from 93 to get 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 17

Step 5:
17 can be fit into 81 4 times, resulting in a remainder of 13.
Put 4 as the next digit of the answer. 
Result so far: 1254.0
Subtract 68 from 81 to get 13.
Bring next digit (0) of the dividend behind the 13 and repeat the process: 130 / 17

Step 6:
If we divide 130 by 17, we get 7 and a remainder of 11.
Put 7 as the next digit of the answer. 
Result so far: 12547.0
Subtract 119 from 130 to get 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 7:
17 can be fit into 110 6 times, resulting in a remainder of 8.
The next digit of our result is 6. 
Result so far: 12547.6
Subtract 102 from 110 to 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 17 fits into 80 4 times, leaving a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 12547.64
If we subtract 68 from 80, 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.

Moving on to step 9:
The number 17 fits into 120 7 times, leaving a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 12547.647
If we take 119 away from 120, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 10:
When dividing 10 by 17, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 12547.647
If we subtract 0 from 10, we 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.

Advancing to step 11:
17 goes into 100 5 times with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 12547.64705
Subtracting 85 from 100 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 12:
17 goes into 150 8 times with a remainder of 14.
Record the quotient 8 as the next digit in the result. 
Result so far: 12547.647058
If we take 136 away from 150, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 13:
140 divided by 17 is 8 with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 12547.6470588
The remainder is 4 after subtracting 136 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 12547.6470588 with a balance of 4e-08.