721677 ÷ 42 
We want to figure out the number of times 721677 can be divided by 42.

Going ahead to step 1:
42 goes into 7 0 times with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Append the next digit (2) from the dividend to 7 and continue with: 72 / 42

Advancing to step 2:
If we divide 72 by 42, we get 1 and a remainder of 30.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 42 from 72 leaves us with 30.
Append the next digit (1) from the dividend to 30 and continue with: 301 / 42

Let's proceed to step 3:
42 goes into 301 7 times with a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 17.0
Deduct 294 from 301 and we're left with 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 42

Moving on to step 4:
42 can be fit into 76 1 times, resulting in a remainder of 34.
Record the quotient 1 as the next digit in the result. 
Result so far: 171.0
Subtract 42 from 76 to get 34.
Bring next digit (7) of the dividend behind the 34 and repeat the process: 347 / 42

Step 5:
347 divided by 42 is 8 with a remainder of 11.
Put 8 as the next digit of the answer. 
Result so far: 1718.0
The remainder is 11 after subtracting 336 from 347.
Bring next digit (7) of the dividend behind the 11 and repeat the process: 117 / 42

Moving on to step 6:
If we divide 117 by 42, we get 2 and a remainder of 33.
Put 2 as the next digit of the answer. 
Result so far: 17182.0
Deduct 84 from 117 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 7:
42 goes into 330 7 times with a remainder of 36.
The number 7 becomes the next digit in our result. 
Result so far: 17182.7
Subtracting 294 from 330 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 8:
The number 42 fits into 360 8 times, leaving a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 17182.78
Subtract 336 from 360 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 9:
42 can be fit into 240 5 times, resulting in a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 17182.785
Deduct 210 from 240 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 10:
42 can be fit into 300 7 times, resulting in a remainder of 6.
Use 7 as the next digit of our solution. 
Result so far: 17182.7857
Subtract 294 from 300 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 11:
60 divided by 42 is 1 with a remainder of 18.
The next digit of our result is 1. 
Result so far: 17182.78571
Subtracting 42 from 60 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 12:
If we divide 180 by 42, we get 4 and a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 17182.785714
Subtracting 168 from 180 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 13:
42 can be fit into 120 2 times, resulting in a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 17182.7857142
If we take 84 away from 120, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 14:
The number 42 fits into 360 8 times, leaving a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 17182.78571428
Subtracting 336 from 360 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The final result is 17182.78571428 with a remainder of 2.4e-08.