We're dividing 684644 by 42 
We want to figure out the number of times 684644 can be divided by 42.

Step 1:
When dividing 6 by 42, we get 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 42

Advancing to step 2:
When dividing 68 by 42, we get 1 with a remainder of 26.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 42 from 68 to get 26.
Append the next digit (4) from the dividend to 26 and continue with: 264 / 42

Moving on to step 3:
264 divided by 42 is 6 with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
If we subtract 252 from 264, we get 12.
Fetch the next digit (6) from the dividend, attach it to 12 and continue: 126 / 42

Going ahead to step 4:
42 goes into 126 3 times with a remainder of 0.
The number 3 becomes the next digit in our result. 
Result so far: 163.0
Subtracting 126 from 126 leaves us with 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 42

On to step 5:
42 can be fit into 4 0 times, resulting in a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 1630.0
If we subtract 0 from 4, we get 4.
Take the next digit (4) from the dividend and append it to 4, then repeat: 44 / 42

Step 6:
42 can be fit into 44 1 times, resulting in a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 16301.0
Subtract 42 from 44 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 7:
When dividing 20 by 42, we get 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 16301.0
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
200 divided by 42 is 4 with a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 16301.04
The remainder is 32 after subtracting 168 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 9:
42 goes into 320 7 times with a remainder of 26.
Put 7 as the next digit of the answer. 
Result so far: 16301.047
If we take 294 away from 320, we end up with 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 10:
If we divide 260 by 42, we get 6 and a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 16301.0476
If we take 252 away from 260, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 11:
42 goes into 80 1 times with a remainder of 38.
Record the quotient 1 as the next digit in the result. 
Result so far: 16301.04761
Subtracting 42 from 80 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 12:
42 can be fit into 380 9 times, resulting in a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 16301.047619
Deduct 378 from 380 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 13:
When dividing 20 by 42, we get 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 16301.047619
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 14:
42 can be fit into 200 4 times, resulting in a remainder of 32.
Record the quotient 4 as the next digit in the result. 
Result so far: 16301.04761904
Deduct 168 from 200 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Our division results in 16301.04761904 with a remaining 3.2e-08.