We look at the division of 4005676 by 279 
Our goal is to divide 4005676 by 279.

On to step 1:
When dividing 4 by 279, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 279

Moving on to step 2:
If we divide 40 by 279, we get 0 and a remainder of 40.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 40, we end up with 40.
Grab the next digit (0) from the dividend, add it to 40, then carry on: 400 / 279

On to step 3:
279 can be fit into 400 1 times, resulting in a remainder of 121.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 279 from 400 leaves us with 121.
Grab the next digit (5) from the dividend, add it to 121, then carry on: 1215 / 279

Advancing to step 4:
279 goes into 1215 4 times with a remainder of 99.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
Deduct 1116 from 1215 and we're left with 99.
Include the next digit (6) from the dividend after 99, then repeat: 996 / 279

Step 5:
279 goes into 996 3 times with a remainder of 159.
Use 3 as the next digit of our solution. 
Result so far: 143.0
Subtracting 837 from 996 leaves us with 159.
Bring next digit (7) of the dividend behind the 159 and repeat the process: 1597 / 279

On to step 6:
The number 279 fits into 1597 5 times, leaving a remainder of 202.
The number 5 becomes the next digit in our result. 
Result so far: 1435.0
If we take 1395 away from 1597, we end up with 202.
Include the next digit (6) from the dividend after 202, then repeat: 2026 / 279

Step 7:
2026 divided by 279 is 7 with a remainder of 73.
Put 7 as the next digit of the answer. 
Result so far: 14357.0
Subtract 1953 from 2026 to get 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Moving on to step 8:
The number 279 fits into 730 2 times, leaving a remainder of 172.
Put 2 as the next digit of the answer. 
Result so far: 14357.2
Subtracting 558 from 730 leaves us with 172.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1720, and continue the process.

Advancing to step 9:
1720 divided by 279 is 6 with a remainder of 46.
The next digit of our result is 6. 
Result so far: 14357.26
Subtracting 1674 from 1720 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 10:
460 divided by 279 is 1 with a remainder of 181.
Record the quotient 1 as the next digit in the result. 
Result so far: 14357.261
The remainder is 181 after subtracting 279 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1810, and continue the process.

On to step 11:
The number 279 fits into 1810 6 times, leaving a remainder of 136.
The number 6 becomes the next digit in our result. 
Result so far: 14357.2616
If we subtract 1674 from 1810, we get 136.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1360, and continue the process.

Moving on to step 12:
279 can be fit into 1360 4 times, resulting in a remainder of 244.
Write down 4 as next digit of the result. 
Result so far: 14357.26164
Deduct 1116 from 1360 and we're left with 244.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2440, and continue the process.

Let's proceed to step 13:
When dividing 2440 by 279, we get 8 with a remainder of 208.
The number 8 becomes the next digit in our result. 
Result so far: 14357.261648
If we subtract 2232 from 2440, we get 208.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2080, and continue the process.

Advancing to step 14:
2080 divided by 279 is 7 with a remainder of 127.
The number 7 becomes the next digit in our result. 
Result so far: 14357.2616487
Subtract 1953 from 2080 to get 127.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1270, and continue the process.

Moving on to step 15:
1270 divided by 279 is 4 with a remainder of 154.
The number 4 becomes the next digit in our result. 
Result so far: 14357.26164874
Deduct 1116 from 1270 and we're left with 154.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1540, and continue the process.

Our division results in 14357.26164874 with a remaining 1.54e-07.