106668 ÷ 34 
Our goal is to divide 106668 by 34.

On to step 1:
The number 34 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 34

Moving on to step 2:
34 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Grab the next digit (6) from the dividend, add it to 10, then carry on: 106 / 34

Advancing to step 3:
34 goes into 106 3 times with a remainder of 4.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Deduct 102 from 106 and we're left with 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 34

On to step 4:
If we divide 46 by 34, we get 1 and a remainder of 12.
The number 1 becomes the next digit in our result. 
Result so far: 31.0
Deduct 34 from 46 and we're left with 12.
Fetch the next digit (6) from the dividend, attach it to 12 and continue: 126 / 34

Moving on to step 5:
When dividing 126 by 34, we get 3 with a remainder of 24.
The number 3 becomes the next digit in our result. 
Result so far: 313.0
Deduct 102 from 126 and we're left with 24.
Fetch the next digit (8) from the dividend, attach it to 24 and continue: 248 / 34

Moving on to step 6:
If we divide 248 by 34, we get 7 and a remainder of 10.
The number 7 becomes the next digit in our result. 
Result so far: 3137.0
Subtracting 238 from 248 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.

On to step 7:
100 divided by 34 is 2 with a remainder of 32.
Record the quotient 2 as the next digit in the result. 
Result so far: 3137.2
If we take 68 away from 100, we end up 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.

On to step 8:
When dividing 320 by 34, we get 9 with a remainder of 14.
Record the quotient 9 as the next digit in the result. 
Result so far: 3137.29
Subtract 306 from 320 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 9:
140 divided by 34 is 4 with a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 3137.294
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.

Step 10:
If we divide 40 by 34, we get 1 and a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 3137.2941
Deduct 34 from 40 and we're left 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.

Going ahead to step 11:
34 can be fit into 60 1 times, resulting in a remainder of 26.
Write down 1 as next digit of the result. 
Result so far: 3137.29411
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.

After the division, we end up with 3137.29411 and a remainder of 2.6e-05.