We're dividing 516166 by 79 
Our goal is to divide 516166 by 79.

On to step 1:
79 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 79

Going ahead to step 2:
51 divided by 79 is 0 with a remainder of 51.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 51 to get 51.
Fetch the next digit (6) from the dividend, attach it to 51 and continue: 516 / 79

Let's proceed to step 3:
79 goes into 516 6 times with a remainder of 42.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
The remainder is 42 after subtracting 474 from 516.
Grab the next digit (1) from the dividend, add it to 42, then carry on: 421 / 79

On to step 4:
The number 79 fits into 421 5 times, leaving a remainder of 26.
Put 5 as the next digit of the answer. 
Result so far: 65.0
Subtracting 395 from 421 leaves us with 26.
Append the next digit (6) from the dividend to 26 and continue with: 266 / 79

Advancing to step 5:
If we divide 266 by 79, we get 3 and a remainder of 29.
The next digit of our result is 3. 
Result so far: 653.0
Deduct 237 from 266 and we're left with 29.
Append the next digit (6) from the dividend to 29 and continue with: 296 / 79

Step 6:
When dividing 296 by 79, we get 3 with a remainder of 59.
Use 3 as the next digit of our solution. 
Result so far: 6533.0
Subtracting 237 from 296 leaves us with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Advancing to step 7:
If we divide 590 by 79, we get 7 and a remainder of 37.
Put 7 as the next digit of the answer. 
Result so far: 6533.7
If we take 553 away from 590, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 8:
The number 79 fits into 370 4 times, leaving a remainder of 54.
The number 4 becomes the next digit in our result. 
Result so far: 6533.74
The remainder is 54 after subtracting 316 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Going ahead to step 9:
79 can be fit into 540 6 times, resulting in a remainder of 66.
The number 6 becomes the next digit in our result. 
Result so far: 6533.746
If we take 474 away from 540, we end up with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Advancing to step 10:
79 goes into 660 8 times with a remainder of 28.
Use 8 as the next digit of our solution. 
Result so far: 6533.7468
The remainder is 28 after subtracting 632 from 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 11:
If we divide 280 by 79, we get 3 and a remainder of 43.
Use 3 as the next digit of our solution. 
Result so far: 6533.74683
If we take 237 away from 280, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Advancing to step 12:
79 goes into 430 5 times with a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 6533.746835
If we subtract 395 from 430, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 13:
The number 79 fits into 350 4 times, leaving a remainder of 34.
The number 4 becomes the next digit in our result. 
Result so far: 6533.7468354
Deduct 316 from 350 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 14:
340 divided by 79 is 4 with a remainder of 24.
Write down 4 as next digit of the result. 
Result so far: 6533.74683544
Subtracting 316 from 340 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.

Our division results in 6533.74683544 with a remaining 2.4e-08.