We look at the division of 334323 by 37 
We want to divide 334323 by 37.

Going ahead to step 1:
3 divided by 37 is 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 37

Let's proceed to step 2:
33 divided by 37 is 0 with a remainder of 33.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 33 after subtracting 0 from 33.
Append the next digit (4) from the dividend to 33 and continue with: 334 / 37

Advancing to step 3:
When dividing 334 by 37, we get 9 with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
If we take 333 away from 334, we end up with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 37

Moving on to step 4:
37 goes into 13 0 times with a remainder of 13.
The next digit of our result is 0. 
Result so far: 90.0
Subtracting 0 from 13 leaves us with 13.
Fetch the next digit (2) from the dividend, attach it to 13 and continue: 132 / 37

Let's proceed to step 5:
When dividing 132 by 37, we get 3 with a remainder of 21.
The number 3 becomes the next digit in our result. 
Result so far: 903.0
The remainder is 21 after subtracting 111 from 132.
Grab the next digit (3) from the dividend, add it to 21, then carry on: 213 / 37

On to step 6:
37 goes into 213 5 times with a remainder of 28.
Use 5 as the next digit of our solution. 
Result so far: 9035.0
Subtract 185 from 213 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.

Moving on to step 7:
If we divide 280 by 37, we get 7 and a remainder of 21.
The number 7 becomes the next digit in our result. 
Result so far: 9035.7
If we subtract 259 from 280, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 8:
210 divided by 37 is 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 9035.75
Subtract 185 from 210 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 9:
If we divide 250 by 37, we get 6 and a remainder of 28.
Use 6 as the next digit of our solution. 
Result so far: 9035.756
Subtracting 222 from 250 leaves us with 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 10:
37 can be fit into 280 7 times, resulting in a remainder of 21.
Use 7 as the next digit of our solution. 
Result so far: 9035.7567
Subtracting 259 from 280 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 11:
The number 37 fits into 210 5 times, leaving a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 9035.75675
If we take 185 away from 210, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 12:
37 can be fit into 250 6 times, resulting in a remainder of 28.
Use 6 as the next digit of our solution. 
Result so far: 9035.756756
Subtracting 222 from 250 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 13:
37 goes into 280 7 times with a remainder of 21.
Write down 7 as next digit of the result. 
Result so far: 9035.7567567
Subtract 259 from 280 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 14:
37 can be fit into 210 5 times, resulting in a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 9035.75675675
Subtracting 185 from 210 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

After the division, we end up with 9035.75675675 and a remainder of 2.5e-08.