3737 ÷ 34 
We want to divide 3737 by 34.

Let's proceed to step 1:
When dividing 3 by 34, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 34

Advancing to step 2:
When dividing 37 by 34, we get 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 34 from 37 and we're left with 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 34

Let's proceed to step 3:
If we divide 33 by 34, we get 0 and a remainder of 33.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
The remainder is 33 after subtracting 0 from 33.
Append the next digit (7) from the dividend to 33 and continue with: 337 / 34

Moving on to step 4:
When dividing 337 by 34, we get 9 with a remainder of 31.
Write down 9 as next digit of the result. 
Result so far: 109.0
The remainder is 31 after subtracting 306 from 337.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 5:
310 divided by 34 is 9 with a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 109.9
Deduct 306 from 310 and we're left 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.

Let's proceed to step 6:
The number 34 fits into 40 1 times, leaving a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 109.91
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.

Step 7:
34 goes into 60 1 times with a remainder of 26.
The next digit of our result is 1. 
Result so far: 109.911
Deduct 34 from 60 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.

The final outcome is 109.911, with a leftover of 0.0026.