We're dividing 149666 by 34 
We're looking to find how many times 34 goes into 149666.

Advancing to step 1:
When dividing 1 by 34, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 34

On to step 2:
When dividing 14 by 34, we get 0 with a remainder of 14.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 14, we get 14.
Bring next digit (9) of the dividend behind the 14 and repeat the process: 149 / 34

Moving on to step 3:
The number 34 fits into 149 4 times, leaving a remainder of 13.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
The remainder is 13 after subtracting 136 from 149.
Append the next digit (6) from the dividend to 13 and continue with: 136 / 34

Going ahead to step 4:
The number 34 fits into 136 4 times, leaving a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 44.0
If we subtract 136 from 136, we get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 34

On to step 5:
When dividing 6 by 34, we get 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 440.0
Subtract 0 from 6 to get 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 34

Going ahead to step 6:
If we divide 66 by 34, we get 1 and a remainder of 32.
Put 1 as the next digit of the answer. 
Result so far: 4401.0
Deduct 34 from 66 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 7:
34 can be fit into 320 9 times, resulting in a remainder of 14.
The number 9 becomes the next digit in our result. 
Result so far: 4401.9
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.

Step 8:
34 goes into 140 4 times with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 4401.94
Deduct 136 from 140 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.

On to step 9:
40 divided by 34 is 1 with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 4401.941
Subtract 34 from 40 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 10:
The number 34 fits into 60 1 times, leaving a remainder of 26.
Put 1 as the next digit of the answer. 
Result so far: 4401.9411
The remainder is 26 after subtracting 34 from 60.
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 4401.9411 and a remainder of 0.00026.