954488 ÷ 553 
We're looking to find how many times 553 goes into 954488.

Step 1:
If we divide 9 by 553, we get 0 and a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Include the next digit (5) from the dividend after 9, then repeat: 95 / 553

Moving on to step 2:
The number 553 fits into 95 0 times, leaving a remainder of 95.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 95, we get 95.
Grab the next digit (4) from the dividend, add it to 95, then carry on: 954 / 553

Let's proceed to step 3:
When dividing 954 by 553, we get 1 with a remainder of 401.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 553 from 954 to get 401.
Fetch the next digit (4) from the dividend, attach it to 401 and continue: 4014 / 553

Moving on to step 4:
If we divide 4014 by 553, we get 7 and a remainder of 143.
Use 7 as the next digit of our solution. 
Result so far: 17.0
Subtracting 3871 from 4014 leaves us with 143.
Append the next digit (8) from the dividend to 143 and continue with: 1438 / 553

Advancing to step 5:
1438 divided by 553 is 2 with a remainder of 332.
Put 2 as the next digit of the answer. 
Result so far: 172.0
The remainder is 332 after subtracting 1106 from 1438.
Bring next digit (8) of the dividend behind the 332 and repeat the process: 3328 / 553

Moving on to step 6:
553 can be fit into 3328 6 times, resulting in a remainder of 10.
The next digit of our result is 6. 
Result so far: 1726.0
If we take 3318 away from 3328, 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 7:
When dividing 100 by 553, we get 0 with a remainder of 100.
Use 0 as the next digit of our solution. 
Result so far: 1726.0
Deduct 0 from 100 and we're left with 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

Advancing to step 8:
1000 divided by 553 is 1 with a remainder of 447.
The number 1 becomes the next digit in our result. 
Result so far: 1726.01
If we take 553 away from 1000, we end up with 447.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4470, and continue the process.

Let's proceed to step 9:
The number 553 fits into 4470 8 times, leaving a remainder of 46.
Record the quotient 8 as the next digit in the result. 
Result so far: 1726.018
The remainder is 46 after subtracting 4424 from 4470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 10:
The number 553 fits into 460 0 times, leaving a remainder of 460.
Write down 0 as next digit of the result. 
Result so far: 1726.018
Subtract 0 from 460 to get 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4600, and continue the process.

Moving on to step 11:
The number 553 fits into 4600 8 times, leaving a remainder of 176.
Use 8 as the next digit of our solution. 
Result so far: 1726.01808
Subtract 4424 from 4600 to get 176.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1760, and continue the process.

Let's proceed to step 12:
If we divide 1760 by 553, we get 3 and a remainder of 101.
Write down 3 as next digit of the result. 
Result so far: 1726.018083
The remainder is 101 after subtracting 1659 from 1760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1010, and continue the process.

Step 13:
553 can be fit into 1010 1 times, resulting in a remainder of 457.
Use 1 as the next digit of our solution. 
Result so far: 1726.0180831
Deduct 553 from 1010 and we're left with 457.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4570, and continue the process.

Going ahead to step 14:
The number 553 fits into 4570 8 times, leaving a remainder of 146.
Record the quotient 8 as the next digit in the result. 
Result so far: 1726.01808318
If we take 4424 away from 4570, we end up with 146.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1460, and continue the process.

The final result is 1726.01808318 with a remainder of 1.46e-07.