We're dividing 37674 by 35 
We're looking to find how many times 35 goes into 37674.

Advancing to step 1:
When dividing 3 by 35, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 35

Going ahead to step 2:
The number 35 fits into 37 1 times, leaving a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 2 after subtracting 35 from 37.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 35

Step 3:
35 can be fit into 26 0 times, resulting in a remainder of 26.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we subtract 0 from 26, we get 26.
Include the next digit (7) from the dividend after 26, then repeat: 267 / 35

Going ahead to step 4:
35 goes into 267 7 times with a remainder of 22.
The next digit of our result is 7. 
Result so far: 107.0
If we subtract 245 from 267, we get 22.
Include the next digit (4) from the dividend after 22, then repeat: 224 / 35

Step 5:
35 can be fit into 224 6 times, resulting in a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 1076.0
Subtracting 210 from 224 leaves us 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.

Step 6:
If we divide 140 by 35, we get 4 and a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 1076.4
Subtract 140 from 140 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 7:
The number 35 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 1076.4
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 8:
0 divided by 35 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 1076.4
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 1076.4, with a leftover of 0.0.