114325 ÷ 19 
Let's see how many times 19 fits into 114325.

Advancing to step 1:
1 divided by 19 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 19

Moving on to step 2:
19 goes into 11 0 times with a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 11, we end up with 11.
Grab the next digit (4) from the dividend, add it to 11, then carry on: 114 / 19

Moving on to step 3:
The number 19 fits into 114 6 times, leaving a remainder of 0.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtract 114 from 114 to get 0.
Grab the next digit (3) from the dividend, add it to 0, then carry on: 3 / 19

Advancing to step 4:
When dividing 3 by 19, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 60.0
If we subtract 0 from 3, we get 3.
Take the next digit (2) from the dividend and append it to 3, then repeat: 32 / 19

Moving on to step 5:
19 goes into 32 1 times with a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 601.0
Subtract 19 from 32 to get 13.
Grab the next digit (5) from the dividend, add it to 13, then carry on: 135 / 19

On to step 6:
135 divided by 19 is 7 with a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 6017.0
Deduct 133 from 135 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
19 goes into 20 1 times with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 6017.1
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.

Advancing to step 8:
10 divided by 19 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 6017.1
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 9:
19 can be fit into 100 5 times, resulting in a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 6017.105
If we take 95 away from 100, we end up 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.

Advancing to step 10:
19 can be fit into 50 2 times, resulting in a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 6017.1052
The remainder is 12 after subtracting 38 from 50.
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 11:
If we divide 120 by 19, we get 6 and a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 6017.10526
If we take 114 away from 120, 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.

Step 12:
When dividing 60 by 19, we get 3 with a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 6017.105263
Subtract 57 from 60 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 13:
If we divide 30 by 19, we get 1 and a remainder of 11.
The next digit of our result is 1. 
Result so far: 6017.1052631
Subtracting 19 from 30 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 14:
19 can be fit into 110 5 times, resulting in a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 6017.10526315
Subtract 95 from 110 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

After the division, we end up with 6017.10526315 and a remainder of 1.5e-08.