Let's divide 125969 by 46
We want to divide 125969 by 46.

Advancing to step 1:
46 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 46

Let's proceed to step 2:
46 goes into 12 0 times with a remainder of 12.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 12, we get 12.
Include the next digit (5) from the dividend after 12, then repeat: 125 / 46

Going ahead to step 3:
125 divided by 46 is 2 with a remainder of 33.
The next digit of our result is 2. 
Result so far: 2.0
The remainder is 33 after subtracting 92 from 125.
Append the next digit (9) from the dividend to 33 and continue with: 339 / 46

On to step 4:
46 goes into 339 7 times with a remainder of 17.
Put 7 as the next digit of the answer. 
Result so far: 27.0
If we subtract 322 from 339, we get 17.
Fetch the next digit (6) from the dividend, attach it to 17 and continue: 176 / 46

On to step 5:
46 goes into 176 3 times with a remainder of 38.
The next digit of our result is 3. 
Result so far: 273.0
Deduct 138 from 176 and we're left with 38.
Append the next digit (9) from the dividend to 38 and continue with: 389 / 46

Going ahead to step 6:
If we divide 389 by 46, we get 8 and a remainder of 21.
Write down 8 as next digit of the result. 
Result so far: 2738.0
Deduct 368 from 389 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 7:
When dividing 210 by 46, we get 4 with a remainder of 26.
Write down 4 as next digit of the result. 
Result so far: 2738.4
Subtracting 184 from 210 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.

Advancing to step 8:
The number 46 fits into 260 5 times, leaving a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 2738.45
Subtracting 230 from 260 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 9:
The number 46 fits into 300 6 times, leaving a remainder of 24.
The next digit of our result is 6. 
Result so far: 2738.456
If we subtract 276 from 300, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 10:
The number 46 fits into 240 5 times, leaving a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 2738.4565
Subtracting 230 from 240 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 11:
The number 46 fits into 100 2 times, leaving a remainder of 8.
The next digit of our result is 2. 
Result so far: 2738.45652
If we subtract 92 from 100, 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.

Moving on to step 12:
46 can be fit into 80 1 times, resulting in a remainder of 34.
Write down 1 as next digit of the result. 
Result so far: 2738.456521
The remainder is 34 after subtracting 46 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 13:
The number 46 fits into 340 7 times, leaving a remainder of 18.
Record the quotient 7 as the next digit in the result. 
Result so far: 2738.4565217
Subtracting 322 from 340 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.

Moving on to step 14:
The number 46 fits into 180 3 times, leaving a remainder of 42.
Use 3 as the next digit of our solution. 
Result so far: 2738.45652173
Subtract 138 from 180 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

The final result is 2738.45652173 with a remainder of 4.2e-08.