793 ÷ 46 
Our goal is to divide 793 by 46.

Step 1:
46 can be fit into 7 0 times, resulting in a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Append the next digit (9) from the dividend to 7 and continue with: 79 / 46

Advancing to step 2:
The number 46 fits into 79 1 times, leaving a remainder of 33.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 46 away from 79, we end up with 33.
Bring next digit (3) of the dividend behind the 33 and repeat the process: 333 / 46

Moving on to step 3:
46 goes into 333 7 times with a remainder of 11.
Put 7 as the next digit of the answer. 
Result so far: 17.0
Subtracting 322 from 333 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 4:
The number 46 fits into 110 2 times, leaving a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 17.2
The remainder is 18 after subtracting 92 from 110.
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 5:
If we divide 180 by 46, we get 3 and a remainder of 42.
Record the quotient 3 as the next digit in the result. 
Result so far: 17.23
If we take 138 away from 180, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 6:
420 divided by 46 is 9 with a remainder of 6.
Record the quotient 9 as the next digit in the result. 
Result so far: 17.239
If we take 414 away from 420, we end up 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.

On to step 7:
When dividing 60 by 46, we get 1 with a remainder of 14.
Put 1 as the next digit of the answer. 
Result so far: 17.2391
Subtract 46 from 60 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 8:
The number 46 fits into 140 3 times, leaving a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 17.23913
Deduct 138 from 140 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 9:
46 can be fit into 20 0 times, resulting in a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 17.23913
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 10:
The number 46 fits into 200 4 times, leaving a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 17.2391304
If we take 184 away from 200, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 11:
When dividing 160 by 46, we get 3 with a remainder of 22.
Record the quotient 3 as the next digit in the result. 
Result so far: 17.23913043
Deduct 138 from 160 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

The quotient of the division is 17.23913043, and the remainder is 2.2e-08.