Let's divide 1461 by 42
We want to divide 1461 by 42.

Moving on to step 1:
42 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 42

On to step 2:
If we divide 14 by 42, we get 0 and a remainder of 14.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 14 and we're left with 14.
Append the next digit (6) from the dividend to 14 and continue with: 146 / 42

On to step 3:
When dividing 146 by 42, we get 3 with a remainder of 20.
Use 3 as the next digit of our solution. 
Result so far: 3.0
The remainder is 20 after subtracting 126 from 146.
Grab the next digit (1) from the dividend, add it to 20, then carry on: 201 / 42

Let's proceed to step 4:
If we divide 201 by 42, we get 4 and a remainder of 33.
Record the quotient 4 as the next digit in the result. 
Result so far: 34.0
If we take 168 away from 201, we end up 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.

Step 5:
The number 42 fits into 330 7 times, leaving a remainder of 36.
The number 7 becomes the next digit in our result. 
Result so far: 34.7
Subtract 294 from 330 to get 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 6:
The number 42 fits into 360 8 times, leaving a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 34.78
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.

Moving on to step 7:
42 goes into 240 5 times with a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 34.785
Subtracting 210 from 240 leaves us 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 8:
The number 42 fits into 300 7 times, leaving a remainder of 6.
Use 7 as the next digit of our solution. 
Result so far: 34.7857
Deduct 294 from 300 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 9:
The number 42 fits into 60 1 times, leaving a remainder of 18.
Put 1 as the next digit of the answer. 
Result so far: 34.78571
If we take 42 away from 60, we end up 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.

Step 10:
42 can be fit into 180 4 times, resulting in a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 34.785714
If we subtract 168 from 180, we get 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 11:
If we divide 120 by 42, we get 2 and a remainder of 36.
The next digit of our result is 2. 
Result so far: 34.7857142
Deduct 84 from 120 and we're left 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 12:
The number 42 fits into 360 8 times, leaving a remainder of 24.
The next digit of our result is 8. 
Result so far: 34.78571428
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 quotient of the division is 34.78571428, and the remainder is 2.4e-08.