We're dividing 553986 by 79 
We want to figure out the number of times 553986 can be divided by 79.

On to step 1:
If we divide 5 by 79, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 79

Moving on to step 2:
79 can be fit into 55 0 times, resulting in a remainder of 55.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 55 to get 55.
Include the next digit (3) from the dividend after 55, then repeat: 553 / 79

Going ahead to step 3:
79 can be fit into 553 7 times, resulting in a remainder of 0.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we take 553 away from 553, we end up with 0.
Grab the next digit (9) from the dividend, add it to 0, then carry on: 9 / 79

On to step 4:
When dividing 9 by 79, we get 0 with a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 70.0
If we take 0 away from 9, we end up with 9.
Include the next digit (8) from the dividend after 9, then repeat: 98 / 79

Step 5:
79 can be fit into 98 1 times, resulting in a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 701.0
If we take 79 away from 98, we end up with 19.
Bring next digit (6) of the dividend behind the 19 and repeat the process: 196 / 79

Advancing to step 6:
79 can be fit into 196 2 times, resulting in a remainder of 38.
Put 2 as the next digit of the answer. 
Result so far: 7012.0
The remainder is 38 after subtracting 158 from 196.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 7:
If we divide 380 by 79, we get 4 and a remainder of 64.
The number 4 becomes the next digit in our result. 
Result so far: 7012.4
Subtracting 316 from 380 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 8:
If we divide 640 by 79, we get 8 and a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 7012.48
If we take 632 away from 640, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 9:
80 divided by 79 is 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 7012.481
Subtracting 79 from 80 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 10:
79 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 7012.481
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 11:
79 can be fit into 100 1 times, resulting in a remainder of 21.
The next digit of our result is 1. 
Result so far: 7012.48101
Subtract 79 from 100 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 12:
The number 79 fits into 210 2 times, leaving a remainder of 52.
Write down 2 as next digit of the result. 
Result so far: 7012.481012
Subtracting 158 from 210 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 13:
The number 79 fits into 520 6 times, leaving a remainder of 46.
Put 6 as the next digit of the answer. 
Result so far: 7012.4810126
Deduct 474 from 520 and we're left 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.

Moving on to step 14:
79 goes into 460 5 times with a remainder of 65.
The number 5 becomes the next digit in our result. 
Result so far: 7012.48101265
The remainder is 65 after subtracting 395 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

The quotient of the division is 7012.48101265, and the remainder is 6.5e-08.