We're dividing 125219 by 54 
We're looking to find how many times 54 goes into 125219.

Going ahead to step 1:
54 can be fit into 1 0 times, resulting in 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.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 54

Going ahead to step 2:
54 can be fit into 12 0 times, resulting in a remainder of 12.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 12, we end up with 12.
Include the next digit (5) from the dividend after 12, then repeat: 125 / 54

Going ahead to step 3:
54 goes into 125 2 times with a remainder of 17.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 108 away from 125, we end up with 17.
Fetch the next digit (2) from the dividend, attach it to 17 and continue: 172 / 54

Going ahead to step 4:
172 divided by 54 is 3 with a remainder of 10.
Put 3 as the next digit of the answer. 
Result so far: 23.0
Deduct 162 from 172 and we're left with 10.
Take the next digit (1) from the dividend and append it to 10, then repeat: 101 / 54

Let's proceed to step 5:
When dividing 101 by 54, we get 1 with a remainder of 47.
Write down 1 as next digit of the result. 
Result so far: 231.0
If we take 54 away from 101, we end up with 47.
Append the next digit (9) from the dividend to 47 and continue with: 479 / 54

Going ahead to step 6:
If we divide 479 by 54, we get 8 and a remainder of 47.
Record the quotient 8 as the next digit in the result. 
Result so far: 2318.0
The remainder is 47 after subtracting 432 from 479.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Advancing to step 7:
The number 54 fits into 470 8 times, leaving a remainder of 38.
Put 8 as the next digit of the answer. 
Result so far: 2318.8
If we take 432 away from 470, we end up 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 8:
54 goes into 380 7 times with a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 2318.87
If we subtract 378 from 380, we 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.

Let's proceed to step 9:
54 goes into 20 0 times with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 2318.87
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.

Going ahead to step 10:
54 goes into 200 3 times with a remainder of 38.
Put 3 as the next digit of the answer. 
Result so far: 2318.8703
Subtract 162 from 200 to get 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 11:
54 can be fit into 380 7 times, resulting in a remainder of 2.
The next digit of our result is 7. 
Result so far: 2318.87037
Deduct 378 from 380 and we're left 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.

Advancing to step 12:
54 can be fit into 20 0 times, resulting in a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 2318.87037
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 13:
The number 54 fits into 200 3 times, leaving a remainder of 38.
Use 3 as the next digit of our solution. 
Result so far: 2318.8703703
Subtract 162 from 200 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 14:
54 can be fit into 380 7 times, resulting in a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 2318.87037037
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.

In conclusion, the division gives 2318.87037037 with a balance of 2e-09.