We look at the division of 41121059 by 279 
Our goal is to divide 41121059 by 279.

Step 1:
If we divide 4 by 279, we get 0 and a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 279

On to step 2:
279 can be fit into 41 0 times, resulting in a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Grab the next digit (1) from the dividend, add it to 41, then carry on: 411 / 279

Let's proceed to step 3:
If we divide 411 by 279, we get 1 and a remainder of 132.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 279 away from 411, we end up with 132.
Fetch the next digit (2) from the dividend, attach it to 132 and continue: 1322 / 279

Advancing to step 4:
If we divide 1322 by 279, we get 4 and a remainder of 206.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
If we subtract 1116 from 1322, we get 206.
Take the next digit (1) from the dividend and append it to 206, then repeat: 2061 / 279

Advancing to step 5:
The number 279 fits into 2061 7 times, leaving a remainder of 108.
Record the quotient 7 as the next digit in the result. 
Result so far: 147.0
Deduct 1953 from 2061 and we're left with 108.
Bring next digit (0) of the dividend behind the 108 and repeat the process: 1080 / 279

On to step 6:
When dividing 1080 by 279, we get 3 with a remainder of 243.
Put 3 as the next digit of the answer. 
Result so far: 1473.0
Subtract 837 from 1080 to get 243.
Grab the next digit (5) from the dividend, add it to 243, then carry on: 2435 / 279

Moving on to step 7:
279 can be fit into 2435 8 times, resulting in a remainder of 203.
Put 8 as the next digit of the answer. 
Result so far: 14738.0
Subtracting 2232 from 2435 leaves us with 203.
Fetch the next digit (9) from the dividend, attach it to 203 and continue: 2039 / 279

Advancing to step 8:
2039 divided by 279 is 7 with a remainder of 86.
Use 7 as the next digit of our solution. 
Result so far: 147387.0
If we take 1953 away from 2039, we end up with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Going ahead to step 9:
If we divide 860 by 279, we get 3 and a remainder of 23.
The next digit of our result is 3. 
Result so far: 147387.3
Deduct 837 from 860 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 10:
230 divided by 279 is 0 with a remainder of 230.
Put 0 as the next digit of the answer. 
Result so far: 147387.3
If we subtract 0 from 230, we get 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2300, and continue the process.

Going ahead to step 11:
2300 divided by 279 is 8 with a remainder of 68.
Use 8 as the next digit of our solution. 
Result so far: 147387.308
If we subtract 2232 from 2300, we get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Let's proceed to step 12:
279 goes into 680 2 times with a remainder of 122.
Record the quotient 2 as the next digit in the result. 
Result so far: 147387.3082
Deduct 558 from 680 and we're left with 122.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1220, and continue the process.

On to step 13:
When dividing 1220 by 279, we get 4 with a remainder of 104.
Record the quotient 4 as the next digit in the result. 
Result so far: 147387.30824
Deduct 1116 from 1220 and we're left with 104.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1040, and continue the process.

Advancing to step 14:
The number 279 fits into 1040 3 times, leaving a remainder of 203.
Record the quotient 3 as the next digit in the result. 
Result so far: 147387.308243
If we take 837 away from 1040, we end up with 203.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2030, and continue the process.

On to step 15:
When dividing 2030 by 279, we get 7 with a remainder of 77.
Use 7 as the next digit of our solution. 
Result so far: 147387.3082437
Deduct 1953 from 2030 and we're left with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Going ahead to step 16:
If we divide 770 by 279, we get 2 and a remainder of 212.
Record the quotient 2 as the next digit in the result. 
Result so far: 147387.30824372
Subtracting 558 from 770 leaves us with 212.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2120, and continue the process.

After the division, we end up with 147387.30824372 and a remainder of 2.12e-07.