We look at the division of 4034 by 37 
We want to divide 4034 by 37.

On to step 1:
37 can be fit into 4 0 times, resulting in a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 37

Advancing to step 2:
The number 37 fits into 40 1 times, leaving a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 3 after subtracting 37 from 40.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 37

Let's proceed to step 3:
37 can be fit into 33 0 times, resulting in a remainder of 33.
Put 0 as the next digit of the answer. 
Result so far: 10.0
The remainder is 33 after subtracting 0 from 33.
Take the next digit (4) from the dividend and append it to 33, then repeat: 334 / 37

Going ahead to step 4:
334 divided by 37 is 9 with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 109.0
Subtracting 333 from 334 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 5:
If we divide 10 by 37, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 109.0
Subtracting 0 from 10 leaves us 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 6:
When dividing 100 by 37, we get 2 with a remainder of 26.
The next digit of our result is 2. 
Result so far: 109.02
Deduct 74 from 100 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 7:
The number 37 fits into 260 7 times, leaving a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 109.027
If we take 259 away from 260, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 8:
37 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 109.027
Subtracting 0 from 10 leaves us 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 9:
When dividing 100 by 37, we get 2 with a remainder of 26.
The next digit of our result is 2. 
Result so far: 109.02702
If we take 74 away from 100, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 10:
If we divide 260 by 37, we get 7 and a remainder of 1.
The next digit of our result is 7. 
Result so far: 109.027027
If we subtract 259 from 260, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 11:
The number 37 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 109.027027
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 12:
37 can be fit into 100 2 times, resulting in a remainder of 26.
Use 2 as the next digit of our solution. 
Result so far: 109.02702702
If we subtract 74 from 100, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

After the division, we end up with 109.02702702 and a remainder of 2.6e-08.