370518 ÷ 34 
We're looking to find how many times 34 goes into 370518.

Step 1:
34 goes into 3 0 times with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 34

Advancing to step 2:
The number 34 fits into 37 1 times, leaving a remainder of 3.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 3 after subtracting 34 from 37.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 34

Going ahead to step 3:
30 divided by 34 is 0 with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtract 0 from 30 to get 30.
Append the next digit (5) from the dividend to 30 and continue with: 305 / 34

Moving on to step 4:
When dividing 305 by 34, we get 8 with a remainder of 33.
Write down 8 as next digit of the result. 
Result so far: 108.0
Subtracting 272 from 305 leaves us with 33.
Fetch the next digit (1) from the dividend, attach it to 33 and continue: 331 / 34

Moving on to step 5:
34 can be fit into 331 9 times, resulting in a remainder of 25.
Record the quotient 9 as the next digit in the result. 
Result so far: 1089.0
Subtracting 306 from 331 leaves us with 25.
Append the next digit (8) from the dividend to 25 and continue with: 258 / 34

Let's proceed to step 6:
34 goes into 258 7 times with a remainder of 20.
Put 7 as the next digit of the answer. 
Result so far: 10897.0
Subtracting 238 from 258 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 7:
The number 34 fits into 200 5 times, leaving a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 10897.5
Subtracting 170 from 200 leaves us 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.

On to step 8:
300 divided by 34 is 8 with a remainder of 28.
Use 8 as the next digit of our solution. 
Result so far: 10897.58
If we subtract 272 from 300, we 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.

Let's proceed to step 9:
If we divide 280 by 34, we get 8 and a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 10897.588
If we take 272 away from 280, we end up 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.

After the division, we end up with 10897.588 and a remainder of 0.0008.