We divide 661001 by 42
We want to figure out the number of times 661001 can be divided by 42.

Step 1:
If we divide 6 by 42, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 42

Moving on to step 2:
If we divide 66 by 42, we get 1 and a remainder of 24.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 42 from 66 to get 24.
Append the next digit (1) from the dividend to 24 and continue with: 241 / 42

Advancing to step 3:
241 divided by 42 is 5 with a remainder of 31.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
Subtracting 210 from 241 leaves us with 31.
Append the next digit (0) from the dividend to 31 and continue with: 310 / 42

On to step 4:
The number 42 fits into 310 7 times, leaving a remainder of 16.
The number 7 becomes the next digit in our result. 
Result so far: 157.0
If we subtract 294 from 310, we get 16.
Grab the next digit (0) from the dividend, add it to 16, then carry on: 160 / 42

Moving on to step 5:
If we divide 160 by 42, we get 3 and a remainder of 34.
The number 3 becomes the next digit in our result. 
Result so far: 1573.0
Subtract 126 from 160 to get 34.
Grab the next digit (1) from the dividend, add it to 34, then carry on: 341 / 42

Advancing to step 6:
42 can be fit into 341 8 times, resulting in a remainder of 5.
Record the quotient 8 as the next digit in the result. 
Result so far: 15738.0
The remainder is 5 after subtracting 336 from 341.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
42 goes into 50 1 times with a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 15738.1
Deduct 42 from 50 and we're left 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 8:
42 can be fit into 80 1 times, resulting in a remainder of 38.
Record the quotient 1 as the next digit in the result. 
Result so far: 15738.11
If we subtract 42 from 80, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

In conclusion, the division gives 15738.11 with a balance of 0.038.