125654 ÷ 42 
We want to figure out the number of times 125654 can be divided by 42.

Advancing to step 1:
1 divided by 42 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 42

Going ahead to step 2:
The number 42 fits into 12 0 times, leaving a remainder of 12.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 12 after subtracting 0 from 12.
Fetch the next digit (5) from the dividend, attach it to 12 and continue: 125 / 42

On to step 3:
When dividing 125 by 42, we get 2 with a remainder of 41.
The next digit of our result is 2. 
Result so far: 2.0
If we subtract 84 from 125, we get 41.
Take the next digit (6) from the dividend and append it to 41, then repeat: 416 / 42

On to step 4:
42 goes into 416 9 times with a remainder of 38.
Put 9 as the next digit of the answer. 
Result so far: 29.0
Deduct 378 from 416 and we're left with 38.
Grab the next digit (5) from the dividend, add it to 38, then carry on: 385 / 42

Moving on to step 5:
If we divide 385 by 42, we get 9 and a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 299.0
The remainder is 7 after subtracting 378 from 385.
Append the next digit (4) from the dividend to 7 and continue with: 74 / 42

Moving on to step 6:
When dividing 74 by 42, we get 1 with a remainder of 32.
Put 1 as the next digit of the answer. 
Result so far: 2991.0
If we take 42 away from 74, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 7:
320 divided by 42 is 7 with a remainder of 26.
Use 7 as the next digit of our solution. 
Result so far: 2991.7
The remainder is 26 after subtracting 294 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 8:
When dividing 260 by 42, we get 6 with a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 2991.76
Deduct 252 from 260 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.

Going ahead to step 9:
The number 42 fits into 80 1 times, leaving a remainder of 38.
Use 1 as the next digit of our solution. 
Result so far: 2991.761
Subtracting 42 from 80 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 10:
If we divide 380 by 42, we get 9 and a remainder of 2.
The next digit of our result is 9. 
Result so far: 2991.7619
The remainder is 2 after subtracting 378 from 380.
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 11:
The number 42 fits into 20 0 times, leaving a remainder of 20.
The next digit of our result is 0. 
Result so far: 2991.7619
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 12:
200 divided by 42 is 4 with a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 2991.761904
If we subtract 168 from 200, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 13:
When dividing 320 by 42, we get 7 with a remainder of 26.
The next digit of our result is 7. 
Result so far: 2991.7619047
The remainder is 26 after subtracting 294 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 14:
The number 42 fits into 260 6 times, leaving a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 2991.76190476
Subtract 252 from 260 to 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.

After the division, we end up with 2991.76190476 and a remainder of 8e-09.