766142 ÷ 22 
Our goal is to divide 766142 by 22.

Step 1:
The number 22 fits into 7 0 times, leaving a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 22

Moving on to step 2:
If we divide 76 by 22, we get 3 and a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we take 66 away from 76, we end up with 10.
Take the next digit (6) from the dividend and append it to 10, then repeat: 106 / 22

Advancing to step 3:
22 goes into 106 4 times with a remainder of 18.
Use 4 as the next digit of our solution. 
Result so far: 34.0
Deduct 88 from 106 and we're left with 18.
Append the next digit (1) from the dividend to 18 and continue with: 181 / 22

Let's proceed to step 4:
If we divide 181 by 22, we get 8 and a remainder of 5.
Record the quotient 8 as the next digit in the result. 
Result so far: 348.0
Subtracting 176 from 181 leaves us with 5.
Include the next digit (4) from the dividend after 5, then repeat: 54 / 22

On to step 5:
The number 22 fits into 54 2 times, leaving a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 3482.0
Subtract 44 from 54 to get 10.
Fetch the next digit (2) from the dividend, attach it to 10 and continue: 102 / 22

Advancing to step 6:
22 goes into 102 4 times with a remainder of 14.
The number 4 becomes the next digit in our result. 
Result so far: 34824.0
If we subtract 88 from 102, we 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.

Step 7:
22 goes into 140 6 times with a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 34824.6
The remainder is 8 after subtracting 132 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 8:
If we divide 80 by 22, we get 3 and a remainder of 14.
Use 3 as the next digit of our solution. 
Result so far: 34824.63
If we take 66 away from 80, we end up 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.

On to step 9:
140 divided by 22 is 6 with a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 34824.636
Subtract 132 from 140 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 10:
If we divide 80 by 22, we get 3 and a remainder of 14.
Use 3 as the next digit of our solution. 
Result so far: 34824.6363
If we subtract 66 from 80, we 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.

Advancing to step 11:
140 divided by 22 is 6 with a remainder of 8.
The next digit of our result is 6. 
Result so far: 34824.63636
The remainder is 8 after subtracting 132 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 12:
80 divided by 22 is 3 with a remainder of 14.
Write down 3 as next digit of the result. 
Result so far: 34824.636363
The remainder is 14 after subtracting 66 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 13:
22 can be fit into 140 6 times, resulting in a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 34824.6363636
Deduct 132 from 140 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 14:
The number 22 fits into 80 3 times, leaving a remainder of 14.
Put 3 as the next digit of the answer. 
Result so far: 34824.63636363
If we subtract 66 from 80, we 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.

Our division results in 34824.63636363 with a remaining 1.4e-08.