We're dividing 168142 by 97 
Our goal is to divide 168142 by 97.

Advancing to step 1:
97 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 97

On to step 2:
If we divide 16 by 97, we get 0 and a remainder of 16.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 16 after subtracting 0 from 16.
Fetch the next digit (8) from the dividend, attach it to 16 and continue: 168 / 97

Let's proceed to step 3:
If we divide 168 by 97, we get 1 and a remainder of 71.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 97 away from 168, we end up with 71.
Bring next digit (1) of the dividend behind the 71 and repeat the process: 711 / 97

Let's proceed to step 4:
When dividing 711 by 97, we get 7 with a remainder of 32.
Use 7 as the next digit of our solution. 
Result so far: 17.0
If we subtract 679 from 711, we get 32.
Fetch the next digit (4) from the dividend, attach it to 32 and continue: 324 / 97

Going ahead to step 5:
When dividing 324 by 97, we get 3 with a remainder of 33.
Use 3 as the next digit of our solution. 
Result so far: 173.0
If we take 291 away from 324, we end up with 33.
Include the next digit (2) from the dividend after 33, then repeat: 332 / 97

On to step 6:
If we divide 332 by 97, we get 3 and a remainder of 41.
Write down 3 as next digit of the result. 
Result so far: 1733.0
Subtracting 291 from 332 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Going ahead to step 7:
410 divided by 97 is 4 with a remainder of 22.
Use 4 as the next digit of our solution. 
Result so far: 1733.4
If we subtract 388 from 410, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 8:
If we divide 220 by 97, we get 2 and a remainder of 26.
Record the quotient 2 as the next digit in the result. 
Result so far: 1733.42
If we subtract 194 from 220, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 9:
97 can be fit into 260 2 times, resulting in a remainder of 66.
Use 2 as the next digit of our solution. 
Result so far: 1733.422
The remainder is 66 after subtracting 194 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

The final result is 1733.422 with a remainder of 0.0066.