We look at the division of 5461825 by 421 
We want to figure out the number of times 5461825 can be divided by 421.

On to step 1:
When dividing 5 by 421, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (4) from the dividend after 5, then repeat: 54 / 421

Advancing to step 2:
If we divide 54 by 421, we get 0 and a remainder of 54.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 54 to get 54.
Grab the next digit (6) from the dividend, add it to 54, then carry on: 546 / 421

Let's proceed to step 3:
546 divided by 421 is 1 with a remainder of 125.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 125 after subtracting 421 from 546.
Include the next digit (1) from the dividend after 125, then repeat: 1251 / 421

On to step 4:
421 goes into 1251 2 times with a remainder of 409.
The next digit of our result is 2. 
Result so far: 12.0
Deduct 842 from 1251 and we're left with 409.
Take the next digit (8) from the dividend and append it to 409, then repeat: 4098 / 421

Let's proceed to step 5:
The number 421 fits into 4098 9 times, leaving a remainder of 309.
Record the quotient 9 as the next digit in the result. 
Result so far: 129.0
Deduct 3789 from 4098 and we're left with 309.
Take the next digit (2) from the dividend and append it to 309, then repeat: 3092 / 421

Advancing to step 6:
3092 divided by 421 is 7 with a remainder of 145.
Use 7 as the next digit of our solution. 
Result so far: 1297.0
Subtracting 2947 from 3092 leaves us with 145.
Bring next digit (5) of the dividend behind the 145 and repeat the process: 1455 / 421

Step 7:
If we divide 1455 by 421, we get 3 and a remainder of 192.
Use 3 as the next digit of our solution. 
Result so far: 12973.0
Subtract 1263 from 1455 to get 192.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1920, and continue the process.

On to step 8:
1920 divided by 421 is 4 with a remainder of 236.
Write down 4 as next digit of the result. 
Result so far: 12973.4
If we subtract 1684 from 1920, we get 236.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2360, and continue the process.

Let's proceed to step 9:
421 can be fit into 2360 5 times, resulting in a remainder of 255.
Record the quotient 5 as the next digit in the result. 
Result so far: 12973.45
If we take 2105 away from 2360, we end up with 255.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2550, and continue the process.

Step 10:
421 goes into 2550 6 times with a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 12973.456
If we take 2526 away from 2550, 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.

Moving on to step 11:
The number 421 fits into 240 0 times, leaving a remainder of 240.
Put 0 as the next digit of the answer. 
Result so far: 12973.456
The remainder is 240 after subtracting 0 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2400, and continue the process.

Let's proceed to step 12:
421 can be fit into 2400 5 times, resulting in a remainder of 295.
Record the quotient 5 as the next digit in the result. 
Result so far: 12973.45605
If we take 2105 away from 2400, we end up with 295.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2950, and continue the process.

Moving on to step 13:
The number 421 fits into 2950 7 times, leaving a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 12973.456057
Deduct 2947 from 2950 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 14:
421 goes into 30 0 times with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 12973.456057
Subtracting 0 from 30 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.

Step 15:
If we divide 300 by 421, we get 0 and a remainder of 300.
The number 0 becomes the next digit in our result. 
Result so far: 12973.456057
The remainder is 300 after subtracting 0 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3000, and continue the process.

After the division, we end up with 12973.456057 and a remainder of 3e-07.