946591 divided by 95 
Our goal is to divide 946591 by 95.

Let's proceed to step 1:
The number 95 fits into 9 0 times, leaving a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Include the next digit (4) from the dividend after 9, then repeat: 94 / 95

Let's proceed to step 2:
95 goes into 94 0 times with a remainder of 94.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 94 to get 94.
Append the next digit (6) from the dividend to 94 and continue with: 946 / 95

Moving on to step 3:
If we divide 946 by 95, we get 9 and a remainder of 91.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
The remainder is 91 after subtracting 855 from 946.
Fetch the next digit (5) from the dividend, attach it to 91 and continue: 915 / 95

Let's proceed to step 4:
When dividing 915 by 95, we get 9 with a remainder of 60.
Put 9 as the next digit of the answer. 
Result so far: 99.0
The remainder is 60 after subtracting 855 from 915.
Grab the next digit (9) from the dividend, add it to 60, then carry on: 609 / 95

Advancing to step 5:
95 can be fit into 609 6 times, resulting in a remainder of 39.
Write down 6 as next digit of the result. 
Result so far: 996.0
If we take 570 away from 609, we end up with 39.
Include the next digit (1) from the dividend after 39, then repeat: 391 / 95

Going ahead to step 6:
When dividing 391 by 95, we get 4 with a remainder of 11.
Put 4 as the next digit of the answer. 
Result so far: 9964.0
The remainder is 11 after subtracting 380 from 391.
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 7:
110 divided by 95 is 1 with a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 9964.1
The remainder is 15 after subtracting 95 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 8:
The number 95 fits into 150 1 times, leaving a remainder of 55.
The number 1 becomes the next digit in our result. 
Result so far: 9964.11
If we subtract 95 from 150, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

The quotient of the division is 9964.11, and the remainder is 0.055.