We look at the division of 766603 by 22 
Let's see how many times 22 fits into 766603.

Going ahead to step 1:
7 divided by 22 is 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 22

Advancing to step 2:
The number 22 fits into 76 3 times, leaving a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we subtract 66 from 76, we get 10.
Grab the next digit (6) from the dividend, add it to 10, then carry on: 106 / 22

Moving on to step 3:
When dividing 106 by 22, we get 4 with a remainder of 18.
Record the quotient 4 as the next digit in the result. 
Result so far: 34.0
If we subtract 88 from 106, we get 18.
Fetch the next digit (6) from the dividend, attach it to 18 and continue: 186 / 22

Moving on to step 4:
When dividing 186 by 22, we get 8 with a remainder of 10.
Write down 8 as next digit of the result. 
Result so far: 348.0
The remainder is 10 after subtracting 176 from 186.
Append the next digit (0) from the dividend to 10 and continue with: 100 / 22

Step 5:
22 can be fit into 100 4 times, resulting in a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 3484.0
The remainder is 12 after subtracting 88 from 100.
Take the next digit (3) from the dividend and append it to 12, then repeat: 123 / 22

Moving on to step 6:
The number 22 fits into 123 5 times, leaving a remainder of 13.
The next digit of our result is 5. 
Result so far: 34845.0
If we take 110 away from 123, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 7:
If we divide 130 by 22, we get 5 and a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 34845.5
Subtracting 110 from 130 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 8:
22 goes into 200 9 times with a remainder of 2.
The next digit of our result is 9. 
Result so far: 34845.59
The remainder is 2 after subtracting 198 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 9:
If we divide 20 by 22, we get 0 and a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 34845.59
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 10:
200 divided by 22 is 9 with a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 34845.5909
If we take 198 away from 200, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 11:
The number 22 fits into 20 0 times, leaving a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 34845.5909
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 12:
The number 22 fits into 200 9 times, leaving a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 34845.590909
If we take 198 away from 200, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 13:
When dividing 20 by 22, we get 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 34845.590909
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 14:
The number 22 fits into 200 9 times, leaving a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 34845.59090909
Subtracting 198 from 200 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

In conclusion, the division gives 34845.59090909 with a balance of 2e-09.