We divide 959523 by 61
Let's see how many times 61 fits into 959523.

Advancing to step 1:
9 divided by 61 is 0 with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Append the next digit (5) from the dividend to 9 and continue with: 95 / 61

On to step 2:
If we divide 95 by 61, we get 1 and a remainder of 34.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 61 from 95 leaves us with 34.
Fetch the next digit (9) from the dividend, attach it to 34 and continue: 349 / 61

Step 3:
61 goes into 349 5 times with a remainder of 44.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
Deduct 305 from 349 and we're left with 44.
Fetch the next digit (5) from the dividend, attach it to 44 and continue: 445 / 61

On to step 4:
The number 61 fits into 445 7 times, leaving a remainder of 18.
Record the quotient 7 as the next digit in the result. 
Result so far: 157.0
If we subtract 427 from 445, we get 18.
Include the next digit (2) from the dividend after 18, then repeat: 182 / 61

Advancing to step 5:
61 goes into 182 2 times with a remainder of 60.
The number 2 becomes the next digit in our result. 
Result so far: 1572.0
Subtracting 122 from 182 leaves us with 60.
Fetch the next digit (3) from the dividend, attach it to 60 and continue: 603 / 61

Step 6:
61 goes into 603 9 times with a remainder of 54.
Use 9 as the next digit of our solution. 
Result so far: 15729.0
Deduct 549 from 603 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 7:
540 divided by 61 is 8 with a remainder of 52.
Write down 8 as next digit of the result. 
Result so far: 15729.8
The remainder is 52 after subtracting 488 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 8:
520 divided by 61 is 8 with a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 15729.88
Deduct 488 from 520 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The quotient of the division is 15729.88, and the remainder is 0.032.