461295 ÷ 79 
Our goal is to divide 461295 by 79.

Moving on to step 1:
4 divided by 79 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 79

Step 2:
If we divide 46 by 79, we get 0 and a remainder of 46.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 46 to get 46.
Append the next digit (1) from the dividend to 46 and continue with: 461 / 79

Step 3:
If we divide 461 by 79, we get 5 and a remainder of 66.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we take 395 away from 461, we end up with 66.
Take the next digit (2) from the dividend and append it to 66, then repeat: 662 / 79

Step 4:
662 divided by 79 is 8 with a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 58.0
Subtracting 632 from 662 leaves us with 30.
Take the next digit (9) from the dividend and append it to 30, then repeat: 309 / 79

Step 5:
When dividing 309 by 79, we get 3 with a remainder of 72.
Put 3 as the next digit of the answer. 
Result so far: 583.0
Deduct 237 from 309 and we're left with 72.
Append the next digit (5) from the dividend to 72 and continue with: 725 / 79

Going ahead to step 6:
The number 79 fits into 725 9 times, leaving a remainder of 14.
Record the quotient 9 as the next digit in the result. 
Result so far: 5839.0
If we subtract 711 from 725, we 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.

Moving on to step 7:
140 divided by 79 is 1 with a remainder of 61.
The next digit of our result is 1. 
Result so far: 5839.1
Subtract 79 from 140 to get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

On to step 8:
79 goes into 610 7 times with a remainder of 57.
Record the quotient 7 as the next digit in the result. 
Result so far: 5839.17
If we subtract 553 from 610, we get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Step 9:
If we divide 570 by 79, we get 7 and a remainder of 17.
Write down 7 as next digit of the result. 
Result so far: 5839.177
If we take 553 away from 570, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

The quotient of the division is 5839.177, and the remainder is 0.0017.