137102 ÷ 43 
Our goal is to divide 137102 by 43.

Moving on to step 1:
1 divided by 43 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 43

Advancing to step 2:
43 can be fit into 13 0 times, resulting in a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 13 after subtracting 0 from 13.
Take the next digit (7) from the dividend and append it to 13, then repeat: 137 / 43

Advancing to step 3:
43 can be fit into 137 3 times, resulting in a remainder of 8.
The next digit of our result is 3. 
Result so far: 3.0
Deduct 129 from 137 and we're left with 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 43

On to step 4:
43 goes into 81 1 times with a remainder of 38.
Put 1 as the next digit of the answer. 
Result so far: 31.0
If we subtract 43 from 81, we get 38.
Bring next digit (0) of the dividend behind the 38 and repeat the process: 380 / 43

Advancing to step 5:
If we divide 380 by 43, we get 8 and a remainder of 36.
Use 8 as the next digit of our solution. 
Result so far: 318.0
The remainder is 36 after subtracting 344 from 380.
Append the next digit (2) from the dividend to 36 and continue with: 362 / 43

On to step 6:
43 can be fit into 362 8 times, resulting in a remainder of 18.
The next digit of our result is 8. 
Result so far: 3188.0
Subtracting 344 from 362 leaves us 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.

Step 7:
180 divided by 43 is 4 with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 3188.4
If we subtract 172 from 180, we get 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 8:
If we divide 80 by 43, we get 1 and a remainder of 37.
Use 1 as the next digit of our solution. 
Result so far: 3188.41
Deduct 43 from 80 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Going ahead to step 9:
If we divide 370 by 43, we get 8 and a remainder of 26.
The number 8 becomes the next digit in our result. 
Result so far: 3188.418
Subtracting 344 from 370 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 10:
If we divide 260 by 43, we get 6 and a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 3188.4186
Subtract 258 from 260 to get 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 11:
If we divide 20 by 43, we get 0 and a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 3188.4186
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 12:
43 can be fit into 200 4 times, resulting in a remainder of 28.
Write down 4 as next digit of the result. 
Result so far: 3188.418604
Subtracting 172 from 200 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 13:
When dividing 280 by 43, we get 6 with a remainder of 22.
Put 6 as the next digit of the answer. 
Result so far: 3188.4186046
Subtracting 258 from 280 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 14:
If we divide 220 by 43, we get 5 and a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 3188.41860465
The remainder is 5 after subtracting 215 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Our division results in 3188.41860465 with a remaining 5e-09.