We're dividing 972643 by 42 
Our goal is to divide 972643 by 42.

Moving on to step 1:
42 goes into 9 0 times with a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Grab the next digit (7) from the dividend, add it to 9, then carry on: 97 / 42

Step 2:
When dividing 97 by 42, we get 2 with a remainder of 13.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we subtract 84 from 97, we get 13.
Fetch the next digit (2) from the dividend, attach it to 13 and continue: 132 / 42

On to step 3:
42 goes into 132 3 times with a remainder of 6.
The number 3 becomes the next digit in our result. 
Result so far: 23.0
Subtracting 126 from 132 leaves us with 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 42

Moving on to step 4:
42 can be fit into 66 1 times, resulting in a remainder of 24.
The number 1 becomes the next digit in our result. 
Result so far: 231.0
If we take 42 away from 66, we end up with 24.
Append the next digit (4) from the dividend to 24 and continue with: 244 / 42

Advancing to step 5:
244 divided by 42 is 5 with a remainder of 34.
The next digit of our result is 5. 
Result so far: 2315.0
Subtract 210 from 244 to get 34.
Take the next digit (3) from the dividend and append it to 34, then repeat: 343 / 42

Advancing to step 6:
The number 42 fits into 343 8 times, leaving a remainder of 7.
Use 8 as the next digit of our solution. 
Result so far: 23158.0
If we take 336 away from 343, 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.

Advancing to step 7:
42 can be fit into 70 1 times, resulting in a remainder of 28.
The next digit of our result is 1. 
Result so far: 23158.1
The remainder is 28 after subtracting 42 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 8:
42 goes into 280 6 times with a remainder of 28.
The number 6 becomes the next digit in our result. 
Result so far: 23158.16
Subtracting 252 from 280 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 9:
280 divided by 42 is 6 with a remainder of 28.
Record the quotient 6 as the next digit in the result. 
Result so far: 23158.166
Subtracting 252 from 280 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

In conclusion, the division gives 23158.166 with a balance of 0.0028.