We're dividing 456601 by 61 
Our goal is to divide 456601 by 61.

Let's proceed to step 1:
4 divided by 61 is 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 61

Let's proceed to step 2:
45 divided by 61 is 0 with a remainder of 45.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 45, we get 45.
Append the next digit (6) from the dividend to 45 and continue with: 456 / 61

Let's proceed to step 3:
The number 61 fits into 456 7 times, leaving a remainder of 29.
The next digit of our result is 7. 
Result so far: 7.0
If we subtract 427 from 456, we get 29.
Grab the next digit (6) from the dividend, add it to 29, then carry on: 296 / 61

Let's proceed to step 4:
61 goes into 296 4 times with a remainder of 52.
Put 4 as the next digit of the answer. 
Result so far: 74.0
Subtract 244 from 296 to get 52.
Grab the next digit (0) from the dividend, add it to 52, then carry on: 520 / 61

Going ahead to step 5:
61 can be fit into 520 8 times, resulting in a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 748.0
The remainder is 32 after subtracting 488 from 520.
Bring next digit (1) of the dividend behind the 32 and repeat the process: 321 / 61

Advancing to step 6:
61 goes into 321 5 times with a remainder of 16.
Write down 5 as next digit of the result. 
Result so far: 7485.0
Deduct 305 from 321 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 7:
160 divided by 61 is 2 with a remainder of 38.
The number 2 becomes the next digit in our result. 
Result so far: 7485.2
The remainder is 38 after subtracting 122 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 8:
61 can be fit into 380 6 times, resulting in a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 7485.26
If we subtract 366 from 380, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 9:
The number 61 fits into 140 2 times, leaving a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 7485.262
If we subtract 122 from 140, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 10:
If we divide 180 by 61, we get 2 and a remainder of 58.
Write down 2 as next digit of the result. 
Result so far: 7485.2622
Deduct 122 from 180 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Our division results in 7485.2622 with a remaining 0.00058.