Let's divide 213374 by 34
We want to divide 213374 by 34.

Step 1:
2 divided by 34 is 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 34

Let's proceed to step 2:
If we divide 21 by 34, we get 0 and a remainder of 21.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 21 to get 21.
Bring next digit (3) of the dividend behind the 21 and repeat the process: 213 / 34

Step 3:
34 can be fit into 213 6 times, resulting in a remainder of 9.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
The remainder is 9 after subtracting 204 from 213.
Append the next digit (3) from the dividend to 9 and continue with: 93 / 34

Going ahead to step 4:
If we divide 93 by 34, we get 2 and a remainder of 25.
The number 2 becomes the next digit in our result. 
Result so far: 62.0
Subtracting 68 from 93 leaves us with 25.
Take the next digit (7) from the dividend and append it to 25, then repeat: 257 / 34

Moving on to step 5:
34 can be fit into 257 7 times, resulting in a remainder of 19.
Put 7 as the next digit of the answer. 
Result so far: 627.0
If we take 238 away from 257, we end up with 19.
Take the next digit (4) from the dividend and append it to 19, then repeat: 194 / 34

On to step 6:
The number 34 fits into 194 5 times, leaving a remainder of 24.
Record the quotient 5 as the next digit in the result. 
Result so far: 6275.0
The remainder is 24 after subtracting 170 from 194.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 7:
34 can be fit into 240 7 times, resulting in a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 6275.7
Subtracting 238 from 240 leaves us 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.

Let's proceed to step 8:
20 divided by 34 is 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 6275.7
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 9:
34 goes into 200 5 times with a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 6275.705
Deduct 170 from 200 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 10:
34 can be fit into 300 8 times, resulting in a remainder of 28.
Put 8 as the next digit of the answer. 
Result so far: 6275.7058
Subtract 272 from 300 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 11:
The number 34 fits into 280 8 times, leaving a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 6275.70588
Subtracting 272 from 280 leaves us 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.

The quotient of the division is 6275.70588, and the remainder is 8e-06.