741538 ÷ 97 
Our goal is to divide 741538 by 97.

Step 1:
7 divided by 97 is 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Include the next digit (4) from the dividend after 7, then repeat: 74 / 97

Moving on to step 2:
97 can be fit into 74 0 times, resulting in a remainder of 74.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 74, we get 74.
Append the next digit (1) from the dividend to 74 and continue with: 741 / 97

Let's proceed to step 3:
97 goes into 741 7 times with a remainder of 62.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we take 679 away from 741, we end up with 62.
Fetch the next digit (5) from the dividend, attach it to 62 and continue: 625 / 97

Advancing to step 4:
If we divide 625 by 97, we get 6 and a remainder of 43.
The next digit of our result is 6. 
Result so far: 76.0
Subtract 582 from 625 to get 43.
Bring next digit (3) of the dividend behind the 43 and repeat the process: 433 / 97

On to step 5:
97 goes into 433 4 times with a remainder of 45.
Write down 4 as next digit of the result. 
Result so far: 764.0
If we subtract 388 from 433, we get 45.
Append the next digit (8) from the dividend to 45 and continue with: 458 / 97

Let's proceed to step 6:
The number 97 fits into 458 4 times, leaving a remainder of 70.
Record the quotient 4 as the next digit in the result. 
Result so far: 7644.0
The remainder is 70 after subtracting 388 from 458.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 7:
700 divided by 97 is 7 with a remainder of 21.
The number 7 becomes the next digit in our result. 
Result so far: 7644.7
Deduct 679 from 700 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 8:
If we divide 210 by 97, we get 2 and a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 7644.72
If we subtract 194 from 210, we 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.

Advancing to step 9:
160 divided by 97 is 1 with a remainder of 63.
The next digit of our result is 1. 
Result so far: 7644.721
Subtracting 97 from 160 leaves us 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.

Advancing to step 10:
If we divide 630 by 97, we get 6 and a remainder of 48.
Write down 6 as next digit of the result. 
Result so far: 7644.7216
Subtract 582 from 630 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 11:
When dividing 480 by 97, we get 4 with a remainder of 92.
The next digit of our result is 4. 
Result so far: 7644.72164
Deduct 388 from 480 and we're left 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.

Advancing to step 12:
97 goes into 920 9 times with a remainder of 47.
The number 9 becomes the next digit in our result. 
Result so far: 7644.721649
Deduct 873 from 920 and we're left with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Step 13:
If we divide 470 by 97, we get 4 and a remainder of 82.
Write down 4 as next digit of the result. 
Result so far: 7644.7216494
The remainder is 82 after subtracting 388 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Going ahead to step 14:
820 divided by 97 is 8 with a remainder of 44.
Write down 8 as next digit of the result. 
Result so far: 7644.72164948
If we take 776 away from 820, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Our division results in 7644.72164948 with a remaining 4.4e-08.