746 divided by 97 
Our goal is to divide 746 by 97.

Going ahead to step 1:
7 divided by 97 is 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 97

Advancing to step 2:
97 goes into 74 0 times with a remainder of 74.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 74 leaves us with 74.
Fetch the next digit (6) from the dividend, attach it to 74 and continue: 746 / 97

Let's proceed to step 3:
The number 97 fits into 746 7 times, leaving a remainder of 67.
Write down 7 as next digit of the result. 
Result so far: 7.0
Deduct 679 from 746 and we're left with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

On to step 4:
97 goes into 670 6 times with a remainder of 88.
Record the quotient 6 as the next digit in the result. 
Result so far: 7.6
Deduct 582 from 670 and we're left with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Moving on to step 5:
880 divided by 97 is 9 with a remainder of 7.
Write down 9 as next digit of the result. 
Result so far: 7.69
If we take 873 away from 880, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 6:
When dividing 70 by 97, we get 0 with a remainder of 70.
The next digit of our result is 0. 
Result so far: 7.69
Subtracting 0 from 70 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Going ahead to step 7:
97 can be fit into 700 7 times, resulting in a remainder of 21.
Write down 7 as next digit of the result. 
Result so far: 7.6907
Subtract 679 from 700 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 8:
When dividing 210 by 97, we get 2 with a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 7.69072
Subtract 194 from 210 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 9:
When dividing 160 by 97, we get 1 with a remainder of 63.
Use 1 as the next digit of our solution. 
Result so far: 7.690721
Deduct 97 from 160 and we're left with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Moving on to step 10:
97 can be fit into 630 6 times, resulting in a remainder of 48.
The number 6 becomes the next digit in our result. 
Result so far: 7.6907216
If we take 582 away from 630, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 11:
97 can be fit into 480 4 times, resulting in a remainder of 92.
Write down 4 as next digit of the result. 
Result so far: 7.69072164
Subtracting 388 from 480 leaves us with 92.
Since there are no more digits in the dividend, we add a zero to the remainder making it 920, and continue the process.

Our division results in 7.69072164 with a remaining 9.2e-08.