261137 divided by 53 
We're looking to find how many times 53 goes into 261137.

Step 1:
When dividing 2 by 53, we get 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 53

On to step 2:
When dividing 26 by 53, we get 0 with a remainder of 26.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 26 and we're left with 26.
Include the next digit (1) from the dividend after 26, then repeat: 261 / 53

Going ahead to step 3:
53 can be fit into 261 4 times, resulting in a remainder of 49.
Put 4 as the next digit of the answer. 
Result so far: 4.0
The remainder is 49 after subtracting 212 from 261.
Fetch the next digit (1) from the dividend, attach it to 49 and continue: 491 / 53

Let's proceed to step 4:
If we divide 491 by 53, we get 9 and a remainder of 14.
Record the quotient 9 as the next digit in the result. 
Result so far: 49.0
If we take 477 away from 491, we end up with 14.
Grab the next digit (3) from the dividend, add it to 14, then carry on: 143 / 53

Going ahead to step 5:
53 can be fit into 143 2 times, resulting in a remainder of 37.
The number 2 becomes the next digit in our result. 
Result so far: 492.0
If we subtract 106 from 143, we get 37.
Fetch the next digit (7) from the dividend, attach it to 37 and continue: 377 / 53

On to step 6:
The number 53 fits into 377 7 times, leaving a remainder of 6.
Use 7 as the next digit of our solution. 
Result so far: 4927.0
If we take 371 away from 377, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 7:
53 goes into 60 1 times with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 4927.1
If we subtract 53 from 60, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 8:
If we divide 70 by 53, we get 1 and a remainder of 17.
The next digit of our result is 1. 
Result so far: 4927.11
The remainder is 17 after subtracting 53 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

The quotient of the division is 4927.11, and the remainder is 0.017.