We're dividing 465900 by 61 
We want to figure out the number of times 465900 can be divided by 61.

Advancing to step 1:
If we divide 4 by 61, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 61

Step 2:
61 can be fit into 46 0 times, resulting in a remainder of 46.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 46 and we're left with 46.
Fetch the next digit (5) from the dividend, attach it to 46 and continue: 465 / 61

Going ahead to step 3:
465 divided by 61 is 7 with a remainder of 38.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we take 427 away from 465, we end up with 38.
Append the next digit (9) from the dividend to 38 and continue with: 389 / 61

On to step 4:
If we divide 389 by 61, we get 6 and a remainder of 23.
Write down 6 as next digit of the result. 
Result so far: 76.0
If we take 366 away from 389, we end up with 23.
Include the next digit (0) from the dividend after 23, then repeat: 230 / 61

On to step 5:
When dividing 230 by 61, we get 3 with a remainder of 47.
Write down 3 as next digit of the result. 
Result so far: 763.0
Subtract 183 from 230 to get 47.
Fetch the next digit (0) from the dividend, attach it to 47 and continue: 470 / 61

Moving on to step 6:
61 can be fit into 470 7 times, resulting in a remainder of 43.
The number 7 becomes the next digit in our result. 
Result so far: 7637.0
If we take 427 away from 470, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Step 7:
430 divided by 61 is 7 with a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 7637.7
Subtracting 427 from 430 leaves us 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.

On to step 8:
30 divided by 61 is 0 with a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 7637.7
If we take 0 away from 30, we end up 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.

Moving on to step 9:
When dividing 300 by 61, we get 4 with a remainder of 56.
The number 4 becomes the next digit in our result. 
Result so far: 7637.704
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.

Advancing to step 10:
61 can be fit into 560 9 times, resulting in a remainder of 11.
The next digit of our result is 9. 
Result so far: 7637.7049
Subtracting 549 from 560 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 11:
61 goes into 110 1 times with a remainder of 49.
Record the quotient 1 as the next digit in the result. 
Result so far: 7637.70491
If we take 61 away from 110, we end up with 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 12:
If we divide 490 by 61, we get 8 and a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 7637.704918
Subtract 488 from 490 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 13:
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: 7637.704918
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 14:
200 divided by 61 is 3 with a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 7637.70491803
Deduct 183 from 200 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

The final result is 7637.70491803 with a remainder of 1.7e-08.