We look at the division of 5594131 by 953 
We're looking to find how many times 953 goes into 5594131.

Advancing to step 1:
953 can be fit into 5 0 times, resulting in a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 953

Going ahead to step 2:
When dividing 55 by 953, we get 0 with a remainder of 55.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 55 after subtracting 0 from 55.
Bring next digit (9) of the dividend behind the 55 and repeat the process: 559 / 953

On to step 3:
The number 953 fits into 559 0 times, leaving a remainder of 559.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 559 after subtracting 0 from 559.
Include the next digit (4) from the dividend after 559, then repeat: 5594 / 953

Step 4:
The number 953 fits into 5594 5 times, leaving a remainder of 829.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we subtract 4765 from 5594, we get 829.
Fetch the next digit (1) from the dividend, attach it to 829 and continue: 8291 / 953

Advancing to step 5:
If we divide 8291 by 953, we get 8 and a remainder of 667.
The next digit of our result is 8. 
Result so far: 58.0
If we subtract 7624 from 8291, we get 667.
Include the next digit (3) from the dividend after 667, then repeat: 6673 / 953

On to step 6:
The number 953 fits into 6673 7 times, leaving a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 587.0
Subtracting 6671 from 6673 leaves us with 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 953

Going ahead to step 7:
953 goes into 21 0 times with a remainder of 21.
Record the quotient 0 as the next digit in the result. 
Result so far: 5870.0
If we take 0 away from 21, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 8:
953 goes into 210 0 times with a remainder of 210.
Use 0 as the next digit of our solution. 
Result so far: 5870.0
Subtract 0 from 210 to get 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2100, and continue the process.

Moving on to step 9:
953 goes into 2100 2 times with a remainder of 194.
Write down 2 as next digit of the result. 
Result so far: 5870.02
Subtract 1906 from 2100 to get 194.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1940, and continue the process.

Going ahead to step 10:
When dividing 1940 by 953, we get 2 with a remainder of 34.
The next digit of our result is 2. 
Result so far: 5870.022
Subtracting 1906 from 1940 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

After the division, we end up with 5870.022 and a remainder of 0.0034.