97600 divided by 19 
Our goal is to divide 97600 by 19.

Step 1:
The number 19 fits into 9 0 times, leaving a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Bring next digit (7) of the dividend behind the 9 and repeat the process: 97 / 19

Going ahead to step 2:
97 divided by 19 is 5 with a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtracting 95 from 97 leaves us with 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 19

Moving on to step 3:
When dividing 26 by 19, we get 1 with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 51.0
If we subtract 19 from 26, we get 7.
Grab the next digit (0) from the dividend, add it to 7, then carry on: 70 / 19

Going ahead to step 4:
19 goes into 70 3 times with a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 513.0
If we take 57 away from 70, we end up with 13.
Fetch the next digit (0) from the dividend, attach it to 13 and continue: 130 / 19

Moving on to step 5:
19 can be fit into 130 6 times, resulting in a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 5136.0
If we subtract 114 from 130, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 6:
The number 19 fits into 160 8 times, leaving a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 5136.8
If we take 152 away from 160, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 7:
80 divided by 19 is 4 with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 5136.84
The remainder is 4 after subtracting 76 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 8:
19 goes into 40 2 times with a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 5136.842
The remainder is 2 after subtracting 38 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 9:
The number 19 fits into 20 1 times, leaving a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 5136.8421
If we subtract 19 from 20, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 10:
If we divide 10 by 19, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 5136.8421
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 11:
If we divide 100 by 19, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 5136.842105
Subtract 95 from 100 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 12:
50 divided by 19 is 2 with a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 5136.8421052
If we subtract 38 from 50, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 13:
If we divide 120 by 19, we get 6 and a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 5136.84210526
Subtract 114 from 120 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

In conclusion, the division gives 5136.84210526 with a balance of 6e-09.