We're dividing 457261 by 79 
Our goal is to divide 457261 by 79.

Step 1:
When dividing 4 by 79, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 79

Let's proceed to step 2:
If we divide 45 by 79, we get 0 and a remainder of 45.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 45, we end up with 45.
Fetch the next digit (7) from the dividend, attach it to 45 and continue: 457 / 79

On to step 3:
79 can be fit into 457 5 times, resulting in a remainder of 62.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtract 395 from 457 to get 62.
Bring next digit (2) of the dividend behind the 62 and repeat the process: 622 / 79

On to step 4:
79 goes into 622 7 times with a remainder of 69.
Record the quotient 7 as the next digit in the result. 
Result so far: 57.0
The remainder is 69 after subtracting 553 from 622.
Bring next digit (6) of the dividend behind the 69 and repeat the process: 696 / 79

Going ahead to step 5:
79 can be fit into 696 8 times, resulting in a remainder of 64.
Record the quotient 8 as the next digit in the result. 
Result so far: 578.0
Subtract 632 from 696 to get 64.
Include the next digit (1) from the dividend after 64, then repeat: 641 / 79

Let's proceed to step 6:
79 can be fit into 641 8 times, resulting in a remainder of 9.
Record the quotient 8 as the next digit in the result. 
Result so far: 5788.0
If we take 632 away from 641, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 7:
79 can be fit into 90 1 times, resulting in a remainder of 11.
The next digit of our result is 1. 
Result so far: 5788.1
Subtract 79 from 90 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 8:
When dividing 110 by 79, we get 1 with a remainder of 31.
Put 1 as the next digit of the answer. 
Result so far: 5788.11
If we take 79 away from 110, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Our division results in 5788.11 with a remaining 0.031.