We're dividing 31256002 by 553 
We want to figure out the number of times 31256002 can be divided by 553.

Going ahead to step 1:
553 can be fit into 3 0 times, resulting in a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 553

Let's proceed to step 2:
31 divided by 553 is 0 with a remainder of 31.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 31, we get 31.
Bring next digit (2) of the dividend behind the 31 and repeat the process: 312 / 553

Step 3:
The number 553 fits into 312 0 times, leaving a remainder of 312.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 312 to get 312.
Include the next digit (5) from the dividend after 312, then repeat: 3125 / 553

On to step 4:
The number 553 fits into 3125 5 times, leaving a remainder of 360.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
The remainder is 360 after subtracting 2765 from 3125.
Take the next digit (6) from the dividend and append it to 360, then repeat: 3606 / 553

Moving on to step 5:
When dividing 3606 by 553, we get 6 with a remainder of 288.
Record the quotient 6 as the next digit in the result. 
Result so far: 56.0
Deduct 3318 from 3606 and we're left with 288.
Append the next digit (0) from the dividend to 288 and continue with: 2880 / 553

Going ahead to step 6:
553 goes into 2880 5 times with a remainder of 115.
Write down 5 as next digit of the result. 
Result so far: 565.0
If we subtract 2765 from 2880, we get 115.
Include the next digit (0) from the dividend after 115, then repeat: 1150 / 553

Let's proceed to step 7:
When dividing 1150 by 553, we get 2 with a remainder of 44.
The number 2 becomes the next digit in our result. 
Result so far: 5652.0
Subtract 1106 from 1150 to get 44.
Append the next digit (2) from the dividend to 44 and continue with: 442 / 553

Advancing to step 8:
If we divide 442 by 553, we get 0 and a remainder of 442.
Write down 0 as next digit of the result. 
Result so far: 56520.0
Subtract 0 from 442 to get 442.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4420, and continue the process.

Step 9:
The number 553 fits into 4420 7 times, leaving a remainder of 549.
The number 7 becomes the next digit in our result. 
Result so far: 56520.7
If we subtract 3871 from 4420, we get 549.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5490, and continue the process.

On to step 10:
When dividing 5490 by 553, we get 9 with a remainder of 513.
Record the quotient 9 as the next digit in the result. 
Result so far: 56520.79
If we subtract 4977 from 5490, we get 513.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5130, and continue the process.

Let's proceed to step 11:
If we divide 5130 by 553, we get 9 and a remainder of 153.
Record the quotient 9 as the next digit in the result. 
Result so far: 56520.799
If we subtract 4977 from 5130, we get 153.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1530, and continue the process.

The final result is 56520.799 with a remainder of 0.0153.