We look at the division of 7745 by 22 
Our goal is to divide 7745 by 22.

Advancing to step 1:
22 can be fit into 7 0 times, resulting in a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Grab the next digit (7) from the dividend, add it to 7, then carry on: 77 / 22

Step 2:
22 can be fit into 77 3 times, resulting in a remainder of 11.
The next digit of our result is 3. 
Result so far: 3.0
The remainder is 11 after subtracting 66 from 77.
Take the next digit (4) from the dividend and append it to 11, then repeat: 114 / 22

Let's proceed to step 3:
22 goes into 114 5 times with a remainder of 4.
Write down 5 as next digit of the result. 
Result so far: 35.0
Subtract 110 from 114 to get 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 22

Going ahead to step 4:
22 goes into 45 2 times with a remainder of 1.
The next digit of our result is 2. 
Result so far: 352.0
Subtract 44 from 45 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 5:
22 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 352.0
Deduct 0 from 10 and we're left 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.

Advancing to step 6:
When dividing 100 by 22, we get 4 with a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 352.04
If we take 88 away from 100, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 7:
The number 22 fits into 120 5 times, leaving a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 352.045
Deduct 110 from 120 and we're left 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.

Going ahead to step 8:
22 goes into 100 4 times with a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 352.0454
If we take 88 away from 100, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 9:
22 can be fit into 120 5 times, resulting in a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 352.04545
If we subtract 110 from 120, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 10:
When dividing 100 by 22, we get 4 with a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 352.045454
If we subtract 88 from 100, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 11:
120 divided by 22 is 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 352.0454545
Deduct 110 from 120 and we're left 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.

Moving on to step 12:
When dividing 100 by 22, we get 4 with a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 352.04545454
Subtract 88 from 100 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

After the division, we end up with 352.04545454 and a remainder of 1.2e-08.