371589 ÷ 34 
We're looking to find how many times 34 goes into 371589.

Moving on to step 1:
3 divided by 34 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 34

Step 2:
If we divide 37 by 34, we get 1 and a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 34 from 37, we get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 34

Moving on to step 3:
When dividing 31 by 34, we get 0 with a remainder of 31.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtracting 0 from 31 leaves us with 31.
Include the next digit (5) from the dividend after 31, then repeat: 315 / 34

On to step 4:
When dividing 315 by 34, we get 9 with a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 109.0
Subtracting 306 from 315 leaves us with 9.
Include the next digit (8) from the dividend after 9, then repeat: 98 / 34

Moving on to step 5:
34 can be fit into 98 2 times, resulting in a remainder of 30.
Put 2 as the next digit of the answer. 
Result so far: 1092.0
Deduct 68 from 98 and we're left with 30.
Fetch the next digit (9) from the dividend, attach it to 30 and continue: 309 / 34

On to step 6:
309 divided by 34 is 9 with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 10929.0
Deduct 306 from 309 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 7:
When dividing 30 by 34, we get 0 with a remainder of 30.
The next digit of our result is 0. 
Result so far: 10929.0
If we take 0 away from 30, we end up 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.

Let's proceed to step 8:
34 goes into 300 8 times with a remainder of 28.
The number 8 becomes the next digit in our result. 
Result so far: 10929.08
The remainder is 28 after subtracting 272 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 9:
34 goes into 280 8 times with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 10929.088
If we subtract 272 from 280, we 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.

In conclusion, the division gives 10929.088 with a balance of 0.0008.