We look at the division of 953261 by 53 
We want to figure out the number of times 953261 can be divided by 53.

Moving on to step 1:
53 goes into 9 0 times with a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 53

Going ahead to step 2:
The number 53 fits into 95 1 times, leaving a remainder of 42.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 53 from 95 and we're left with 42.
Bring next digit (3) of the dividend behind the 42 and repeat the process: 423 / 53

Step 3:
53 goes into 423 7 times with a remainder of 52.
Put 7 as the next digit of the answer. 
Result so far: 17.0
Subtract 371 from 423 to get 52.
Include the next digit (2) from the dividend after 52, then repeat: 522 / 53

Advancing to step 4:
53 can be fit into 522 9 times, resulting in a remainder of 45.
Write down 9 as next digit of the result. 
Result so far: 179.0
Deduct 477 from 522 and we're left with 45.
Grab the next digit (6) from the dividend, add it to 45, then carry on: 456 / 53

On to step 5:
If we divide 456 by 53, we get 8 and a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 1798.0
If we subtract 424 from 456, we get 32.
Bring next digit (1) of the dividend behind the 32 and repeat the process: 321 / 53

Advancing to step 6:
The number 53 fits into 321 6 times, leaving a remainder of 3.
The next digit of our result is 6. 
Result so far: 17986.0
Deduct 318 from 321 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
The number 53 fits into 30 0 times, leaving a remainder of 30.
The next digit of our result is 0. 
Result so far: 17986.0
If we subtract 0 from 30, we 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.

Advancing to step 8:
53 goes into 300 5 times with a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 17986.05
Subtracting 265 from 300 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 9:
The number 53 fits into 350 6 times, leaving a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 17986.056
If we subtract 318 from 350, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 10:
53 can be fit into 320 6 times, resulting in a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 17986.0566
Subtract 318 from 320 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final result is 17986.0566 with a remainder of 2e-05.