421623 ÷ 61 
Let's see how many times 61 fits into 421623.

Going ahead to step 1:
61 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 61

Moving on to step 2:
42 divided by 61 is 0 with a remainder of 42.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 42 and we're left with 42.
Grab the next digit (1) from the dividend, add it to 42, then carry on: 421 / 61

Advancing to step 3:
When dividing 421 by 61, we get 6 with a remainder of 55.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we subtract 366 from 421, we get 55.
Grab the next digit (6) from the dividend, add it to 55, then carry on: 556 / 61

Step 4:
If we divide 556 by 61, we get 9 and a remainder of 7.
The number 9 becomes the next digit in our result. 
Result so far: 69.0
Subtract 549 from 556 to get 7.
Bring next digit (2) of the dividend behind the 7 and repeat the process: 72 / 61

Moving on to step 5:
When dividing 72 by 61, we get 1 with a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 691.0
The remainder is 11 after subtracting 61 from 72.
Grab the next digit (3) from the dividend, add it to 11, then carry on: 113 / 61

On to step 6:
61 can be fit into 113 1 times, resulting in a remainder of 52.
Write down 1 as next digit of the result. 
Result so far: 6911.0
Subtracting 61 from 113 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 7:
If we divide 520 by 61, we get 8 and a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 6911.8
If we subtract 488 from 520, 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.

Moving on to step 8:
61 can be fit into 320 5 times, resulting in a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 6911.85
If we take 305 away from 320, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 9:
61 goes into 150 2 times with a remainder of 28.
The number 2 becomes the next digit in our result. 
Result so far: 6911.852
Subtracting 122 from 150 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 10:
280 divided by 61 is 4 with a remainder of 36.
Write down 4 as next digit of the result. 
Result so far: 6911.8524
Deduct 244 from 280 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 11:
61 can be fit into 360 5 times, resulting in a remainder of 55.
The next digit of our result is 5. 
Result so far: 6911.85245
Subtracting 305 from 360 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 12:
If we divide 550 by 61, we get 9 and a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 6911.852459
Deduct 549 from 550 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 13:
If we divide 10 by 61, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 6911.852459
Subtracting 0 from 10 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 14:
61 goes into 100 1 times with a remainder of 39.
Put 1 as the next digit of the answer. 
Result so far: 6911.85245901
Subtract 61 from 100 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

In conclusion, the division gives 6911.85245901 with a balance of 3.9e-08.