102345 ÷ 19 
We want to divide 102345 by 19.

Going ahead to step 1:
The number 19 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 19

Moving on to step 2:
19 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Include the next digit (2) from the dividend after 10, then repeat: 102 / 19

Going ahead to step 3:
102 divided by 19 is 5 with a remainder of 7.
Put 5 as the next digit of the answer. 
Result so far: 5.0
The remainder is 7 after subtracting 95 from 102.
Include the next digit (3) from the dividend after 7, then repeat: 73 / 19

On to step 4:
The number 19 fits into 73 3 times, leaving a remainder of 16.
Put 3 as the next digit of the answer. 
Result so far: 53.0
The remainder is 16 after subtracting 57 from 73.
Grab the next digit (4) from the dividend, add it to 16, then carry on: 164 / 19

Step 5:
When dividing 164 by 19, we get 8 with a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 538.0
Subtracting 152 from 164 leaves us with 12.
Grab the next digit (5) from the dividend, add it to 12, then carry on: 125 / 19

Let's proceed to step 6:
The number 19 fits into 125 6 times, leaving a remainder of 11.
Record the quotient 6 as the next digit in the result. 
Result so far: 5386.0
If we take 114 away from 125, we end up 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.

Advancing to step 7:
When dividing 110 by 19, we get 5 with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 5386.5
If we take 95 away from 110, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 8:
19 can be fit into 150 7 times, resulting in a remainder of 17.
The next digit of our result is 7. 
Result so far: 5386.57
Subtracting 133 from 150 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 9:
19 can be fit into 170 8 times, resulting in a remainder of 18.
Write down 8 as next digit of the result. 
Result so far: 5386.578
If we take 152 away from 170, 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.

On to step 10:
19 goes into 180 9 times with a remainder of 9.
Record the quotient 9 as the next digit in the result. 
Result so far: 5386.5789
Deduct 171 from 180 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 11:
The number 19 fits into 90 4 times, leaving a remainder of 14.
Write down 4 as next digit of the result. 
Result so far: 5386.57894
If we subtract 76 from 90, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 12:
The number 19 fits into 140 7 times, leaving a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 5386.578947
Subtract 133 from 140 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 13:
19 can be fit into 70 3 times, resulting in a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 5386.5789473
If we subtract 57 from 70, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 14:
19 can be fit into 130 6 times, resulting in a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 5386.57894736
Subtract 114 from 130 to 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.

In conclusion, the division gives 5386.57894736 with a balance of 1.6e-08.