63553 ÷ 79 
We want to divide 63553 by 79.

Going ahead to step 1:
The number 79 fits into 6 0 times, leaving a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 79

Advancing to step 2:
If we divide 63 by 79, we get 0 and a remainder of 63.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 63, we get 63.
Bring next digit (5) of the dividend behind the 63 and repeat the process: 635 / 79

On to step 3:
635 divided by 79 is 8 with a remainder of 3.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we take 632 away from 635, we end up with 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 79

Step 4:
79 can be fit into 35 0 times, resulting in a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 80.0
Deduct 0 from 35 and we're left with 35.
Append the next digit (3) from the dividend to 35 and continue with: 353 / 79

On to step 5:
79 can be fit into 353 4 times, resulting in a remainder of 37.
Record the quotient 4 as the next digit in the result. 
Result so far: 804.0
If we take 316 away from 353, 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.

Step 6:
When dividing 370 by 79, we get 4 with a remainder of 54.
Record the quotient 4 as the next digit in the result. 
Result so far: 804.4
If we take 316 away from 370, we end up with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 7:
The number 79 fits into 540 6 times, leaving a remainder of 66.
Record the quotient 6 as the next digit in the result. 
Result so far: 804.46
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.

Let's proceed to step 8:
79 goes into 660 8 times with a remainder of 28.
The number 8 becomes the next digit in our result. 
Result so far: 804.468
Deduct 632 from 660 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 9:
When dividing 280 by 79, we get 3 with a remainder of 43.
Put 3 as the next digit of the answer. 
Result so far: 804.4683
Deduct 237 from 280 and we're left 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.

Step 10:
79 can be fit into 430 5 times, resulting in a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 804.46835
Subtracting 395 from 430 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 11:
When dividing 350 by 79, we get 4 with a remainder of 34.
The number 4 becomes the next digit in our result. 
Result so far: 804.468354
If we take 316 away from 350, we end up 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 12:
340 divided by 79 is 4 with a remainder of 24.
Use 4 as the next digit of our solution. 
Result so far: 804.4683544
Subtract 316 from 340 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

In conclusion, the division gives 804.4683544 with a balance of 2.4e-07.