71789878 ÷ 553 
Our goal is to divide 71789878 by 553.

On to step 1:
553 goes into 7 0 times with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 553

Let's proceed to step 2:
553 can be fit into 71 0 times, resulting in a remainder of 71.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 71, we get 71.
Fetch the next digit (7) from the dividend, attach it to 71 and continue: 717 / 553

Going ahead to step 3:
The number 553 fits into 717 1 times, leaving a remainder of 164.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 553 from 717 leaves us with 164.
Grab the next digit (8) from the dividend, add it to 164, then carry on: 1648 / 553

Step 4:
If we divide 1648 by 553, we get 2 and a remainder of 542.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
If we subtract 1106 from 1648, we get 542.
Take the next digit (9) from the dividend and append it to 542, then repeat: 5429 / 553

On to step 5:
The number 553 fits into 5429 9 times, leaving a remainder of 452.
The next digit of our result is 9. 
Result so far: 129.0
Subtract 4977 from 5429 to get 452.
Include the next digit (8) from the dividend after 452, then repeat: 4528 / 553

Step 6:
When dividing 4528 by 553, we get 8 with a remainder of 104.
Record the quotient 8 as the next digit in the result. 
Result so far: 1298.0
Subtract 4424 from 4528 to get 104.
Grab the next digit (7) from the dividend, add it to 104, then carry on: 1047 / 553

Moving on to step 7:
If we divide 1047 by 553, we get 1 and a remainder of 494.
Write down 1 as next digit of the result. 
Result so far: 12981.0
If we take 553 away from 1047, we end up with 494.
Bring next digit (8) of the dividend behind the 494 and repeat the process: 4948 / 553

Going ahead to step 8:
When dividing 4948 by 553, we get 8 with a remainder of 524.
Use 8 as the next digit of our solution. 
Result so far: 129818.0
Deduct 4424 from 4948 and we're left with 524.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5240, and continue the process.

Going ahead to step 9:
If we divide 5240 by 553, we get 9 and a remainder of 263.
The next digit of our result is 9. 
Result so far: 129818.9
The remainder is 263 after subtracting 4977 from 5240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2630, and continue the process.

Advancing to step 10:
553 can be fit into 2630 4 times, resulting in a remainder of 418.
The number 4 becomes the next digit in our result. 
Result so far: 129818.94
The remainder is 418 after subtracting 2212 from 2630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4180, and continue the process.

Let's proceed to step 11:
553 goes into 4180 7 times with a remainder of 309.
Use 7 as the next digit of our solution. 
Result so far: 129818.947
Subtracting 3871 from 4180 leaves us with 309.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3090, and continue the process.

Going ahead to step 12:
553 goes into 3090 5 times with a remainder of 325.
Use 5 as the next digit of our solution. 
Result so far: 129818.9475
Subtract 2765 from 3090 to get 325.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3250, and continue the process.

Let's proceed to step 13:
3250 divided by 553 is 5 with a remainder of 485.
Record the quotient 5 as the next digit in the result. 
Result so far: 129818.94755
Subtracting 2765 from 3250 leaves us with 485.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4850, and continue the process.

In conclusion, the division gives 129818.94755 with a balance of 0.000485.