74201742 ÷ 646 
Our goal is to divide 74201742 by 646.

Step 1:
If we divide 7 by 646, we get 0 and a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 646

Step 2:
646 goes into 74 0 times with a remainder of 74.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 74 leaves us with 74.
Append the next digit (2) from the dividend to 74 and continue with: 742 / 646

Advancing to step 3:
If we divide 742 by 646, we get 1 and a remainder of 96.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 646 from 742 and we're left with 96.
Take the next digit (0) from the dividend and append it to 96, then repeat: 960 / 646

Moving on to step 4:
If we divide 960 by 646, we get 1 and a remainder of 314.
Put 1 as the next digit of the answer. 
Result so far: 11.0
If we subtract 646 from 960, we get 314.
Take the next digit (1) from the dividend and append it to 314, then repeat: 3141 / 646

Let's proceed to step 5:
When dividing 3141 by 646, we get 4 with a remainder of 557.
Put 4 as the next digit of the answer. 
Result so far: 114.0
Subtracting 2584 from 3141 leaves us with 557.
Append the next digit (7) from the dividend to 557 and continue with: 5577 / 646

Going ahead to step 6:
5577 divided by 646 is 8 with a remainder of 409.
Put 8 as the next digit of the answer. 
Result so far: 1148.0
If we subtract 5168 from 5577, we get 409.
Bring next digit (4) of the dividend behind the 409 and repeat the process: 4094 / 646

Going ahead to step 7:
646 can be fit into 4094 6 times, resulting in a remainder of 218.
The number 6 becomes the next digit in our result. 
Result so far: 11486.0
If we take 3876 away from 4094, we end up with 218.
Fetch the next digit (2) from the dividend, attach it to 218 and continue: 2182 / 646

Moving on to step 8:
646 goes into 2182 3 times with a remainder of 244.
Write down 3 as next digit of the result. 
Result so far: 114863.0
The remainder is 244 after subtracting 1938 from 2182.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2440, and continue the process.

Step 9:
646 goes into 2440 3 times with a remainder of 502.
The next digit of our result is 3. 
Result so far: 114863.3
If we subtract 1938 from 2440, we get 502.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5020, and continue the process.

On to step 10:
646 goes into 5020 7 times with a remainder of 498.
Write down 7 as next digit of the result. 
Result so far: 114863.37
If we take 4522 away from 5020, we end up with 498.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4980, and continue the process.

On to step 11:
4980 divided by 646 is 7 with a remainder of 458.
Record the quotient 7 as the next digit in the result. 
Result so far: 114863.377
Subtract 4522 from 4980 to get 458.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4580, and continue the process.

Our division results in 114863.377 with a remaining 0.0458.