Let's divide 73614 by 19
We want to divide 73614 by 19.

Advancing to step 1:
When dividing 7 by 19, we get 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Fetch the next digit (3) from the dividend, attach it to 7 and continue: 73 / 19

Advancing to step 2:
19 can be fit into 73 3 times, resulting in a remainder of 16.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Deduct 57 from 73 and we're left with 16.
Append the next digit (6) from the dividend to 16 and continue with: 166 / 19

Moving on to step 3:
19 goes into 166 8 times with a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 38.0
The remainder is 14 after subtracting 152 from 166.
Bring next digit (1) of the dividend behind the 14 and repeat the process: 141 / 19

On to step 4:
If we divide 141 by 19, we get 7 and a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 387.0
Subtract 133 from 141 to get 8.
Take the next digit (4) from the dividend and append it to 8, then repeat: 84 / 19

On to step 5:
If we divide 84 by 19, we get 4 and a remainder of 8.
The next digit of our result is 4. 
Result so far: 3874.0
The remainder is 8 after subtracting 76 from 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 6:
80 divided by 19 is 4 with a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 3874.4
Subtract 76 from 80 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
40 divided by 19 is 2 with a remainder of 2.
The next digit of our result is 2. 
Result so far: 3874.42
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.

Going ahead to step 8:
When dividing 20 by 19, we get 1 with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 3874.421
The remainder is 1 after subtracting 19 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 9:
10 divided by 19 is 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 3874.421
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 10:
If we divide 100 by 19, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 3874.42105
Deduct 95 from 100 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 11:
When dividing 50 by 19, we get 2 with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 3874.421052
Subtracting 38 from 50 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 12:
The number 19 fits into 120 6 times, leaving a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 3874.4210526
The remainder is 6 after subtracting 114 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 13:
19 goes into 60 3 times with a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 3874.42105263
If we take 57 away from 60, we end up 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.

Our division results in 3874.42105263 with a remaining 3e-09.