We look at the division of 458669 by 61 
Our goal is to divide 458669 by 61.

Let's proceed to step 1:
The number 61 fits into 4 0 times, leaving a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Include the next digit (5) from the dividend after 4, then repeat: 45 / 61

Step 2:
45 divided by 61 is 0 with a remainder of 45.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 45 to get 45.
Append the next digit (8) from the dividend to 45 and continue with: 458 / 61

On to step 3:
61 goes into 458 7 times with a remainder of 31.
Write down 7 as next digit of the result. 
Result so far: 7.0
Deduct 427 from 458 and we're left with 31.
Bring next digit (6) of the dividend behind the 31 and repeat the process: 316 / 61

Step 4:
If we divide 316 by 61, we get 5 and a remainder of 11.
The next digit of our result is 5. 
Result so far: 75.0
If we take 305 away from 316, we end up with 11.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 61

Step 5:
116 divided by 61 is 1 with a remainder of 55.
Put 1 as the next digit of the answer. 
Result so far: 751.0
The remainder is 55 after subtracting 61 from 116.
Fetch the next digit (9) from the dividend, attach it to 55 and continue: 559 / 61

Let's proceed to step 6:
61 goes into 559 9 times with a remainder of 10.
Record the quotient 9 as the next digit in the result. 
Result so far: 7519.0
Subtract 549 from 559 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 7:
When dividing 100 by 61, we get 1 with a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 7519.1
If we subtract 61 from 100, we 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.

Going ahead to step 8:
When dividing 390 by 61, we get 6 with a remainder of 24.
The next digit of our result is 6. 
Result so far: 7519.16
Deduct 366 from 390 and we're left 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.

Advancing to step 9:
240 divided by 61 is 3 with a remainder of 57.
The next digit of our result is 3. 
Result so far: 7519.163
The remainder is 57 after subtracting 183 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Moving on to step 10:
61 goes into 570 9 times with a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 7519.1639
If we subtract 549 from 570, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 11:
The number 61 fits into 210 3 times, leaving a remainder of 27.
The next digit of our result is 3. 
Result so far: 7519.16393
If we subtract 183 from 210, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 12:
When dividing 270 by 61, we get 4 with a remainder of 26.
The next digit of our result is 4. 
Result so far: 7519.163934
Subtract 244 from 270 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 13:
The number 61 fits into 260 4 times, leaving a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 7519.1639344
If we subtract 244 from 260, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

In conclusion, the division gives 7519.1639344 with a balance of 1.6e-07.