102177 ÷ 19 
We want to divide 102177 by 19.

Moving on to step 1:
If we divide 1 by 19, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 19

Step 2:
10 divided by 19 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Take the next digit (2) from the dividend and append it to 10, then repeat: 102 / 19

Going ahead to step 3:
When dividing 102 by 19, we get 5 with a remainder of 7.
Write down 5 as next digit of the result. 
Result so far: 5.0
Deduct 95 from 102 and we're left with 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 19

Step 4:
If we divide 71 by 19, we get 3 and a remainder of 14.
Record the quotient 3 as the next digit in the result. 
Result so far: 53.0
Subtract 57 from 71 to get 14.
Bring next digit (7) of the dividend behind the 14 and repeat the process: 147 / 19

Let's proceed to step 5:
19 can be fit into 147 7 times, resulting in a remainder of 14.
Use 7 as the next digit of our solution. 
Result so far: 537.0
Subtracting 133 from 147 leaves us with 14.
Include the next digit (7) from the dividend after 14, then repeat: 147 / 19

Let's proceed to step 6:
19 can be fit into 147 7 times, resulting in a remainder of 14.
The number 7 becomes the next digit in our result. 
Result so far: 5377.0
The remainder is 14 after subtracting 133 from 147.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 7:
140 divided by 19 is 7 with a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 5377.7
Deduct 133 from 140 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 8:
If we divide 70 by 19, we get 3 and a remainder of 13.
The next digit of our result is 3. 
Result so far: 5377.73
Subtracting 57 from 70 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 9:
19 goes into 130 6 times with a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 5377.736
If we take 114 away from 130, we end up with 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 10:
If we divide 160 by 19, we get 8 and a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 5377.7368
Deduct 152 from 160 and we're left 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.

Advancing to step 11:
If we divide 80 by 19, we get 4 and a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 5377.73684
Deduct 76 from 80 and we're left with 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 12:
40 divided by 19 is 2 with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 5377.736842
Subtracting 38 from 40 leaves us 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.

Let's proceed to step 13:
The number 19 fits into 20 1 times, leaving a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 5377.7368421
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.

Going ahead to step 14:
When dividing 10 by 19, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 5377.7368421
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.

After the division, we end up with 5377.7368421 and a remainder of 1e-08.