Let's divide 197971 by 37
We're looking to find how many times 37 goes into 197971.

On to step 1:
The number 37 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 37

On to step 2:
When dividing 19 by 37, we get 0 with a remainder of 19.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 19 and we're left with 19.
Grab the next digit (7) from the dividend, add it to 19, then carry on: 197 / 37

Moving on to step 3:
If we divide 197 by 37, we get 5 and a remainder of 12.
Put 5 as the next digit of the answer. 
Result so far: 5.0
The remainder is 12 after subtracting 185 from 197.
Include the next digit (9) from the dividend after 12, then repeat: 129 / 37

Step 4:
129 divided by 37 is 3 with a remainder of 18.
Write down 3 as next digit of the result. 
Result so far: 53.0
The remainder is 18 after subtracting 111 from 129.
Take the next digit (7) from the dividend and append it to 18, then repeat: 187 / 37

Going ahead to step 5:
37 can be fit into 187 5 times, resulting in a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 535.0
Subtracting 185 from 187 leaves us with 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 37

On to step 6:
When dividing 21 by 37, we get 0 with a remainder of 21.
Record the quotient 0 as the next digit in the result. 
Result so far: 5350.0
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.

Let's proceed to step 7:
The number 37 fits into 210 5 times, leaving a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 5350.5
If we take 185 away from 210, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 8:
250 divided by 37 is 6 with a remainder of 28.
Use 6 as the next digit of our solution. 
Result so far: 5350.56
The remainder is 28 after subtracting 222 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 9:
37 can be fit into 280 7 times, resulting in a remainder of 21.
Use 7 as the next digit of our solution. 
Result so far: 5350.567
If we take 259 away from 280, 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.

Moving on to step 10:
When dividing 210 by 37, we get 5 with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 5350.5675
The remainder is 25 after subtracting 185 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 11:
When dividing 250 by 37, we get 6 with a remainder of 28.
The number 6 becomes the next digit in our result. 
Result so far: 5350.56756
Deduct 222 from 250 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 12:
The number 37 fits into 280 7 times, leaving a remainder of 21.
Write down 7 as next digit of the result. 
Result so far: 5350.567567
If we take 259 away from 280, 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 13:
210 divided by 37 is 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 5350.5675675
The remainder is 25 after subtracting 185 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 14:
37 can be fit into 250 6 times, resulting in a remainder of 28.
Put 6 as the next digit of the answer. 
Result so far: 5350.56756756
Deduct 222 from 250 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Our division results in 5350.56756756 with a remaining 2.8e-08.