743662 ÷ 970 
Our goal is to divide 743662 by 970.

Going ahead to step 1:
970 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.
Append the next digit (4) from the dividend to 7 and continue with: 74 / 970

Moving on to step 2:
970 can be fit into 74 0 times, resulting in 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 (3) from the dividend, attach it to 74 and continue: 743 / 970

Step 3:
970 goes into 743 0 times with a remainder of 743.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 743 after subtracting 0 from 743.
Take the next digit (6) from the dividend and append it to 743, then repeat: 7436 / 970

Let's proceed to step 4:
When dividing 7436 by 970, we get 7 with a remainder of 646.
The next digit of our result is 7. 
Result so far: 7.0
Deduct 6790 from 7436 and we're left with 646.
Include the next digit (6) from the dividend after 646, then repeat: 6466 / 970

Advancing to step 5:
If we divide 6466 by 970, we get 6 and a remainder of 646.
The number 6 becomes the next digit in our result. 
Result so far: 76.0
If we subtract 5820 from 6466, we get 646.
Bring next digit (2) of the dividend behind the 646 and repeat the process: 6462 / 970

Going ahead to step 6:
When dividing 6462 by 970, we get 6 with a remainder of 642.
Use 6 as the next digit of our solution. 
Result so far: 766.0
If we take 5820 away from 6462, we end up with 642.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6420, and continue the process.

Going ahead to step 7:
970 can be fit into 6420 6 times, resulting in a remainder of 600.
Use 6 as the next digit of our solution. 
Result so far: 766.6
The remainder is 600 after subtracting 5820 from 6420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6000, and continue the process.

Advancing to step 8:
970 goes into 6000 6 times with a remainder of 180.
The next digit of our result is 6. 
Result so far: 766.66
The remainder is 180 after subtracting 5820 from 6000.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1800, and continue the process.

After the division, we end up with 766.66 and a remainder of 0.18.