We're dividing 4386784 by 959 
Our goal is to divide 4386784 by 959.

Moving on to step 1:
959 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 959

On to step 2:
The number 959 fits into 43 0 times, leaving a remainder of 43.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 43, we get 43.
Bring next digit (8) of the dividend behind the 43 and repeat the process: 438 / 959

On to step 3:
438 divided by 959 is 0 with a remainder of 438.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 438 to get 438.
Take the next digit (6) from the dividend and append it to 438, then repeat: 4386 / 959

Going ahead to step 4:
4386 divided by 959 is 4 with a remainder of 550.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Deduct 3836 from 4386 and we're left with 550.
Grab the next digit (7) from the dividend, add it to 550, then carry on: 5507 / 959

Step 5:
The number 959 fits into 5507 5 times, leaving a remainder of 712.
Use 5 as the next digit of our solution. 
Result so far: 45.0
Subtracting 4795 from 5507 leaves us with 712.
Grab the next digit (8) from the dividend, add it to 712, then carry on: 7128 / 959

Step 6:
959 goes into 7128 7 times with a remainder of 415.
Put 7 as the next digit of the answer. 
Result so far: 457.0
Subtract 6713 from 7128 to get 415.
Append the next digit (4) from the dividend to 415 and continue with: 4154 / 959

Advancing to step 7:
4154 divided by 959 is 4 with a remainder of 318.
Record the quotient 4 as the next digit in the result. 
Result so far: 4574.0
Subtracting 3836 from 4154 leaves us with 318.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3180, and continue the process.

Let's proceed to step 8:
959 goes into 3180 3 times with a remainder of 303.
Record the quotient 3 as the next digit in the result. 
Result so far: 4574.3
The remainder is 303 after subtracting 2877 from 3180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3030, and continue the process.

On to step 9:
959 can be fit into 3030 3 times, resulting in a remainder of 153.
Use 3 as the next digit of our solution. 
Result so far: 4574.33
The remainder is 153 after subtracting 2877 from 3030.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1530, and continue the process.

The quotient of the division is 4574.33, and the remainder is 0.153.