681841 ÷ 30 
We want to figure out the number of times 681841 can be divided by 30.

Going ahead to step 1:
30 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 30

Moving on to step 2:
30 goes into 68 2 times with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 60 from 68 and we're left with 8.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 30

Moving on to step 3:
If we divide 81 by 30, we get 2 and a remainder of 21.
Put 2 as the next digit of the answer. 
Result so far: 22.0
Subtracting 60 from 81 leaves us with 21.
Fetch the next digit (8) from the dividend, attach it to 21 and continue: 218 / 30

Going ahead to step 4:
218 divided by 30 is 7 with a remainder of 8.
Record the quotient 7 as the next digit in the result. 
Result so far: 227.0
Deduct 210 from 218 and we're left with 8.
Take the next digit (4) from the dividend and append it to 8, then repeat: 84 / 30

On to step 5:
If we divide 84 by 30, we get 2 and a remainder of 24.
The next digit of our result is 2. 
Result so far: 2272.0
Subtract 60 from 84 to get 24.
Bring next digit (1) of the dividend behind the 24 and repeat the process: 241 / 30

Let's proceed to step 6:
241 divided by 30 is 8 with a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 22728.0
Subtract 240 from 241 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
If we divide 10 by 30, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 22728.0
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
30 can be fit into 100 3 times, resulting in a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 22728.03
Subtract 90 from 100 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 9:
When dividing 100 by 30, we get 3 with a remainder of 10.
The number 3 becomes the next digit in our result. 
Result so far: 22728.033
Deduct 90 from 100 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 22728.033 with a remainder of 0.001.