We're dividing 197634 by 53 
Our goal is to divide 197634 by 53.

On to step 1:
1 divided by 53 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 53

Let's proceed to step 2:
19 divided by 53 is 0 with a remainder of 19.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 19, we get 19.
Grab the next digit (7) from the dividend, add it to 19, then carry on: 197 / 53

Let's proceed to step 3:
The number 53 fits into 197 3 times, leaving a remainder of 38.
Write down 3 as next digit of the result. 
Result so far: 3.0
The remainder is 38 after subtracting 159 from 197.
Grab the next digit (6) from the dividend, add it to 38, then carry on: 386 / 53

Step 4:
The number 53 fits into 386 7 times, leaving a remainder of 15.
The next digit of our result is 7. 
Result so far: 37.0
The remainder is 15 after subtracting 371 from 386.
Fetch the next digit (3) from the dividend, attach it to 15 and continue: 153 / 53

Moving on to step 5:
If we divide 153 by 53, we get 2 and a remainder of 47.
Record the quotient 2 as the next digit in the result. 
Result so far: 372.0
Subtract 106 from 153 to get 47.
Bring next digit (4) of the dividend behind the 47 and repeat the process: 474 / 53

Step 6:
53 goes into 474 8 times with a remainder of 50.
The number 8 becomes the next digit in our result. 
Result so far: 3728.0
If we take 424 away from 474, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 7:
When dividing 500 by 53, we get 9 with a remainder of 23.
Use 9 as the next digit of our solution. 
Result so far: 3728.9
The remainder is 23 after subtracting 477 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 8:
When dividing 230 by 53, we get 4 with a remainder of 18.
The next digit of our result is 4. 
Result so far: 3728.94
If we take 212 away from 230, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 9:
The number 53 fits into 180 3 times, leaving a remainder of 21.
Put 3 as the next digit of the answer. 
Result so far: 3728.943
If we subtract 159 from 180, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 10:
210 divided by 53 is 3 with a remainder of 51.
Use 3 as the next digit of our solution. 
Result so far: 3728.9433
Deduct 159 from 210 and we're left with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

In conclusion, the division gives 3728.9433 with a balance of 0.00051.