126790 ÷ 34 
We're looking to find how many times 34 goes into 126790.

Step 1:
If we divide 1 by 34, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 34

Advancing to step 2:
If we divide 12 by 34, we get 0 and a remainder of 12.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 12, we get 12.
Grab the next digit (6) from the dividend, add it to 12, then carry on: 126 / 34

Let's proceed to step 3:
126 divided by 34 is 3 with a remainder of 24.
The next digit of our result is 3. 
Result so far: 3.0
If we take 102 away from 126, we end up with 24.
Take the next digit (7) from the dividend and append it to 24, then repeat: 247 / 34

Going ahead to step 4:
If we divide 247 by 34, we get 7 and a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 37.0
The remainder is 9 after subtracting 238 from 247.
Append the next digit (9) from the dividend to 9 and continue with: 99 / 34

Step 5:
34 goes into 99 2 times with a remainder of 31.
The next digit of our result is 2. 
Result so far: 372.0
Subtracting 68 from 99 leaves us with 31.
Grab the next digit (0) from the dividend, add it to 31, then carry on: 310 / 34

Advancing to step 6:
When dividing 310 by 34, we get 9 with a remainder of 4.
The next digit of our result is 9. 
Result so far: 3729.0
Subtract 306 from 310 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 7:
When dividing 40 by 34, we get 1 with a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 3729.1
Subtracting 34 from 40 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 8:
The number 34 fits into 60 1 times, leaving a remainder of 26.
Record the quotient 1 as the next digit in the result. 
Result so far: 3729.11
Subtract 34 from 60 to 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.

The quotient of the division is 3729.11, and the remainder is 0.026.