We look at the division of 31610313 by 653 
We want to figure out the number of times 31610313 can be divided by 653.

Step 1:
If we divide 3 by 653, we get 0 and a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 653

Advancing to step 2:
31 divided by 653 is 0 with a remainder of 31.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 31 to get 31.
Append the next digit (6) from the dividend to 31 and continue with: 316 / 653

Let's proceed to step 3:
653 goes into 316 0 times with a remainder of 316.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 316, we end up with 316.
Grab the next digit (1) from the dividend, add it to 316, then carry on: 3161 / 653

Let's proceed to step 4:
The number 653 fits into 3161 4 times, leaving a remainder of 549.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we subtract 2612 from 3161, we get 549.
Bring next digit (0) of the dividend behind the 549 and repeat the process: 5490 / 653

Step 5:
The number 653 fits into 5490 8 times, leaving a remainder of 266.
Record the quotient 8 as the next digit in the result. 
Result so far: 48.0
Subtract 5224 from 5490 to get 266.
Include the next digit (3) from the dividend after 266, then repeat: 2663 / 653

Advancing to step 6:
2663 divided by 653 is 4 with a remainder of 51.
Write down 4 as next digit of the result. 
Result so far: 484.0
Subtracting 2612 from 2663 leaves us with 51.
Bring next digit (1) of the dividend behind the 51 and repeat the process: 511 / 653

Let's proceed to step 7:
When dividing 511 by 653, we get 0 with a remainder of 511.
Use 0 as the next digit of our solution. 
Result so far: 4840.0
If we take 0 away from 511, we end up with 511.
Grab the next digit (3) from the dividend, add it to 511, then carry on: 5113 / 653

On to step 8:
653 can be fit into 5113 7 times, resulting in a remainder of 542.
The next digit of our result is 7. 
Result so far: 48407.0
Subtract 4571 from 5113 to get 542.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5420, and continue the process.

Going ahead to step 9:
The number 653 fits into 5420 8 times, leaving a remainder of 196.
The next digit of our result is 8. 
Result so far: 48407.8
If we take 5224 away from 5420, we end up with 196.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1960, and continue the process.

Let's proceed to step 10:
If we divide 1960 by 653, we get 3 and a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 48407.83
If we take 1959 away from 1960, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 11:
When dividing 10 by 653, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 48407.83
If we take 0 away from 10, 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.

Step 12:
When dividing 100 by 653, we get 0 with a remainder of 100.
Write down 0 as next digit of the result. 
Result so far: 48407.83
Subtract 0 from 100 to get 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

The final result is 48407.83 with a remainder of 0.001.