We look at the division of 553472 by 95 
We're looking to find how many times 95 goes into 553472.

Step 1:
The number 95 fits into 5 0 times, leaving a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 95

Going ahead to step 2:
95 goes into 55 0 times with a remainder of 55.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 55 leaves us with 55.
Take the next digit (3) from the dividend and append it to 55, then repeat: 553 / 95

Advancing to step 3:
553 divided by 95 is 5 with a remainder of 78.
The next digit of our result is 5. 
Result so far: 5.0
The remainder is 78 after subtracting 475 from 553.
Bring next digit (4) of the dividend behind the 78 and repeat the process: 784 / 95

On to step 4:
784 divided by 95 is 8 with a remainder of 24.
The number 8 becomes the next digit in our result. 
Result so far: 58.0
If we subtract 760 from 784, we get 24.
Bring next digit (7) of the dividend behind the 24 and repeat the process: 247 / 95

Step 5:
95 goes into 247 2 times with a remainder of 57.
Put 2 as the next digit of the answer. 
Result so far: 582.0
Deduct 190 from 247 and we're left with 57.
Fetch the next digit (2) from the dividend, attach it to 57 and continue: 572 / 95

Advancing to step 6:
When dividing 572 by 95, we get 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 5826.0
Deduct 570 from 572 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 7:
The number 95 fits into 20 0 times, leaving a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 5826.0
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
The number 95 fits into 200 2 times, leaving a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 5826.02
The remainder is 10 after subtracting 190 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 9:
95 goes into 100 1 times with a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 5826.021
Deduct 95 from 100 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 10:
If we divide 50 by 95, we get 0 and a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 5826.021
Subtracting 0 from 50 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 11:
95 can be fit into 500 5 times, resulting in a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 5826.02105
If we subtract 475 from 500, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 12:
250 divided by 95 is 2 with a remainder of 60.
Write down 2 as next digit of the result. 
Result so far: 5826.021052
If we take 190 away from 250, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 13:
The number 95 fits into 600 6 times, leaving a remainder of 30.
Use 6 as the next digit of our solution. 
Result so far: 5826.0210526
Subtract 570 from 600 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 14:
When dividing 300 by 95, we get 3 with a remainder of 15.
The number 3 becomes the next digit in our result. 
Result so far: 5826.02105263
If we subtract 285 from 300, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The quotient of the division is 5826.02105263, and the remainder is 1.5e-08.