We're dividing 477958 by 61 
We want to figure out the number of times 477958 can be divided by 61.

Step 1:
When dividing 4 by 61, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Append the next digit (7) from the dividend to 4 and continue with: 47 / 61

Moving on to step 2:
61 can be fit into 47 0 times, resulting in a remainder of 47.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 47, we end up with 47.
Append the next digit (7) from the dividend to 47 and continue with: 477 / 61

Moving on to step 3:
When dividing 477 by 61, we get 7 with a remainder of 50.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtract 427 from 477 to get 50.
Bring next digit (9) of the dividend behind the 50 and repeat the process: 509 / 61

Step 4:
When dividing 509 by 61, we get 8 with a remainder of 21.
The next digit of our result is 8. 
Result so far: 78.0
The remainder is 21 after subtracting 488 from 509.
Include the next digit (5) from the dividend after 21, then repeat: 215 / 61

Moving on to step 5:
215 divided by 61 is 3 with a remainder of 32.
Record the quotient 3 as the next digit in the result. 
Result so far: 783.0
If we subtract 183 from 215, we get 32.
Append the next digit (8) from the dividend to 32 and continue with: 328 / 61

Moving on to step 6:
If we divide 328 by 61, we get 5 and a remainder of 23.
Record the quotient 5 as the next digit in the result. 
Result so far: 7835.0
Subtract 305 from 328 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 7:
If we divide 230 by 61, we get 3 and a remainder of 47.
Put 3 as the next digit of the answer. 
Result so far: 7835.3
If we take 183 away from 230, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Going ahead to step 8:
When dividing 470 by 61, we get 7 with a remainder of 43.
The number 7 becomes the next digit in our result. 
Result so far: 7835.37
The remainder is 43 after subtracting 427 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 9:
61 can be fit into 430 7 times, resulting in a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 7835.377
The remainder is 3 after subtracting 427 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The quotient of the division is 7835.377, and the remainder is 0.0003.