We're dividing 643171 by 94 
We want to figure out the number of times 643171 can be divided by 94.

Step 1:
94 goes into 6 0 times with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 94

Moving on to step 2:
When dividing 64 by 94, we get 0 with a remainder of 64.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 64 after subtracting 0 from 64.
Bring next digit (3) of the dividend behind the 64 and repeat the process: 643 / 94

Moving on to step 3:
643 divided by 94 is 6 with a remainder of 79.
The next digit of our result is 6. 
Result so far: 6.0
Subtracting 564 from 643 leaves us with 79.
Fetch the next digit (1) from the dividend, attach it to 79 and continue: 791 / 94

Let's proceed to step 4:
791 divided by 94 is 8 with a remainder of 39.
Write down 8 as next digit of the result. 
Result so far: 68.0
The remainder is 39 after subtracting 752 from 791.
Grab the next digit (7) from the dividend, add it to 39, then carry on: 397 / 94

Step 5:
When dividing 397 by 94, we get 4 with a remainder of 21.
Record the quotient 4 as the next digit in the result. 
Result so far: 684.0
The remainder is 21 after subtracting 376 from 397.
Take the next digit (1) from the dividend and append it to 21, then repeat: 211 / 94

Moving on to step 6:
94 can be fit into 211 2 times, resulting in a remainder of 23.
Record the quotient 2 as the next digit in the result. 
Result so far: 6842.0
If we subtract 188 from 211, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 7:
The number 94 fits into 230 2 times, leaving a remainder of 42.
Use 2 as the next digit of our solution. 
Result so far: 6842.2
The remainder is 42 after subtracting 188 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 8:
420 divided by 94 is 4 with a remainder of 44.
Put 4 as the next digit of the answer. 
Result so far: 6842.24
If we take 376 away from 420, 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.

Let's proceed to step 9:
When dividing 440 by 94, we get 4 with a remainder of 64.
Record the quotient 4 as the next digit in the result. 
Result so far: 6842.244
Deduct 376 from 440 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Our division results in 6842.244 with a remaining 0.0064.