137958 ÷ 43 
Our goal is to divide 137958 by 43.

Going ahead to step 1:
1 divided by 43 is 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 43

Advancing to step 2:
43 goes into 13 0 times with a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Grab the next digit (7) from the dividend, add it to 13, then carry on: 137 / 43

Going ahead to step 3:
If we divide 137 by 43, we get 3 and a remainder of 8.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtracting 129 from 137 leaves us with 8.
Include the next digit (9) from the dividend after 8, then repeat: 89 / 43

Moving on to step 4:
43 can be fit into 89 2 times, resulting in a remainder of 3.
Use 2 as the next digit of our solution. 
Result so far: 32.0
Subtract 86 from 89 to get 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 43

Going ahead to step 5:
43 can be fit into 35 0 times, resulting in a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 320.0
The remainder is 35 after subtracting 0 from 35.
Grab the next digit (8) from the dividend, add it to 35, then carry on: 358 / 43

Let's proceed to step 6:
If we divide 358 by 43, we get 8 and a remainder of 14.
The next digit of our result is 8. 
Result so far: 3208.0
If we take 344 away from 358, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 7:
43 goes into 140 3 times with a remainder of 11.
The next digit of our result is 3. 
Result so far: 3208.3
Subtracting 129 from 140 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 8:
The number 43 fits into 110 2 times, leaving a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 3208.32
If we take 86 away from 110, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 9:
The number 43 fits into 240 5 times, leaving a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 3208.325
If we subtract 215 from 240, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 10:
When dividing 250 by 43, we get 5 with a remainder of 35.
The next digit of our result is 5. 
Result so far: 3208.3255
If we take 215 away from 250, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

After the division, we end up with 3208.3255 and a remainder of 0.00035.