825421 divided by 61 
Our goal is to divide 825421 by 61.

Step 1:
61 can be fit into 8 0 times, resulting in a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Bring next digit (2) of the dividend behind the 8 and repeat the process: 82 / 61

On to step 2:
If we divide 82 by 61, we get 1 and a remainder of 21.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 61 away from 82, we end up with 21.
Include the next digit (5) from the dividend after 21, then repeat: 215 / 61

Advancing to step 3:
If we divide 215 by 61, we get 3 and a remainder of 32.
Write down 3 as next digit of the result. 
Result so far: 13.0
The remainder is 32 after subtracting 183 from 215.
Grab the next digit (4) from the dividend, add it to 32, then carry on: 324 / 61

Advancing to step 4:
324 divided by 61 is 5 with a remainder of 19.
Use 5 as the next digit of our solution. 
Result so far: 135.0
Deduct 305 from 324 and we're left with 19.
Include the next digit (2) from the dividend after 19, then repeat: 192 / 61

Moving on to step 5:
The number 61 fits into 192 3 times, leaving a remainder of 9.
Record the quotient 3 as the next digit in the result. 
Result so far: 1353.0
Subtracting 183 from 192 leaves us with 9.
Grab the next digit (1) from the dividend, add it to 9, then carry on: 91 / 61

On to step 6:
61 can be fit into 91 1 times, resulting in a remainder of 30.
Write down 1 as next digit of the result. 
Result so far: 13531.0
Deduct 61 from 91 and we're left 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 7:
61 can be fit into 300 4 times, resulting in a remainder of 56.
The number 4 becomes the next digit in our result. 
Result so far: 13531.4
Subtract 244 from 300 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 8:
61 can be fit into 560 9 times, resulting in a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 13531.49
If we subtract 549 from 560, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 9:
If we divide 110 by 61, we get 1 and a remainder of 49.
Use 1 as the next digit of our solution. 
Result so far: 13531.491
Subtract 61 from 110 to get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Going ahead to step 10:
61 can be fit into 490 8 times, resulting in a remainder of 2.
The next digit of our result is 8. 
Result so far: 13531.4918
Subtracting 488 from 490 leaves us 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.

Moving on to step 11:
If we divide 20 by 61, we get 0 and a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 13531.4918
If we subtract 0 from 20, we 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.

Moving on to step 12:
The number 61 fits into 200 3 times, leaving a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 13531.491803
Subtract 183 from 200 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 13:
The number 61 fits into 170 2 times, leaving a remainder of 48.
The next digit of our result is 2. 
Result so far: 13531.4918032
If we take 122 away from 170, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 14:
If we divide 480 by 61, we get 7 and a remainder of 53.
The next digit of our result is 7. 
Result so far: 13531.49180327
Subtract 427 from 480 to get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

The quotient of the division is 13531.49180327, and the remainder is 5.3e-08.