We look at the division of 371665 by 34 
We want to figure out the number of times 371665 can be divided by 34.

Advancing to step 1:
If we divide 3 by 34, we get 0 and a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 34

Going ahead to step 2:
37 divided by 34 is 1 with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 34 from 37 and we're left with 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 34

Advancing to step 3:
34 goes into 31 0 times with a remainder of 31.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we take 0 away from 31, we end up with 31.
Append the next digit (6) from the dividend to 31 and continue with: 316 / 34

Step 4:
316 divided by 34 is 9 with a remainder of 10.
Put 9 as the next digit of the answer. 
Result so far: 109.0
The remainder is 10 after subtracting 306 from 316.
Take the next digit (6) from the dividend and append it to 10, then repeat: 106 / 34

Moving on to step 5:
When dividing 106 by 34, we get 3 with a remainder of 4.
The number 3 becomes the next digit in our result. 
Result so far: 1093.0
Subtract 102 from 106 to get 4.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 34

Advancing to step 6:
When dividing 45 by 34, we get 1 with a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 10931.0
Subtract 34 from 45 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.

Let's proceed to step 7:
34 can be fit into 110 3 times, resulting in a remainder of 8.
The number 3 becomes the next digit in our result. 
Result so far: 10931.3
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.

Let's proceed to step 8:
If we divide 80 by 34, we get 2 and a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 10931.32
Subtract 68 from 80 to 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.

Advancing to step 9:
120 divided by 34 is 3 with a remainder of 18.
Use 3 as the next digit of our solution. 
Result so far: 10931.323
Deduct 102 from 120 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 10:
180 divided by 34 is 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 10931.3235
If we take 170 away from 180, we end up with 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:
100 divided by 34 is 2 with a remainder of 32.
Use 2 as the next digit of our solution. 
Result so far: 10931.32352
The remainder is 32 after subtracting 68 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 12:
When dividing 320 by 34, we get 9 with a remainder of 14.
The number 9 becomes the next digit in our result. 
Result so far: 10931.323529
Deduct 306 from 320 and we're left 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:
When dividing 140 by 34, we get 4 with a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 10931.3235294
Subtracting 136 from 140 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 14:
34 can be fit into 40 1 times, resulting in a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 10931.32352941
The remainder is 6 after subtracting 34 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Our division results in 10931.32352941 with a remaining 6e-09.