We divide 13876 by 79
We want to divide 13876 by 79.

On to step 1:
If we divide 1 by 79, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 79

On to step 2:
When dividing 13 by 79, we get 0 with a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 13, we end up with 13.
Fetch the next digit (8) from the dividend, attach it to 13 and continue: 138 / 79

Moving on to step 3:
If we divide 138 by 79, we get 1 and a remainder of 59.
The next digit of our result is 1. 
Result so far: 1.0
If we take 79 away from 138, we end up with 59.
Append the next digit (7) from the dividend to 59 and continue with: 597 / 79

Step 4:
When dividing 597 by 79, we get 7 with a remainder of 44.
Put 7 as the next digit of the answer. 
Result so far: 17.0
Deduct 553 from 597 and we're left with 44.
Grab the next digit (6) from the dividend, add it to 44, then carry on: 446 / 79

Step 5:
The number 79 fits into 446 5 times, leaving a remainder of 51.
Write down 5 as next digit of the result. 
Result so far: 175.0
If we take 395 away from 446, we end up with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Step 6:
79 can be fit into 510 6 times, resulting in a remainder of 36.
The number 6 becomes the next digit in our result. 
Result so far: 175.6
Deduct 474 from 510 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 7:
79 goes into 360 4 times with a remainder of 44.
Put 4 as the next digit of the answer. 
Result so far: 175.64
The remainder is 44 after subtracting 316 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 8:
If we divide 440 by 79, we get 5 and a remainder of 45.
Put 5 as the next digit of the answer. 
Result so far: 175.645
Subtract 395 from 440 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 9:
79 can be fit into 450 5 times, resulting in a remainder of 55.
Write down 5 as next digit of the result. 
Result so far: 175.6455
If we subtract 395 from 450, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

The quotient of the division is 175.6455, and the remainder is 0.00055.