We're dividing 59661 by 16 
We want to figure out the number of times 59661 can be divided by 16.

On to step 1:
16 goes into 5 0 times with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (9) from the dividend, add it to 5, then carry on: 59 / 16

Moving on to step 2:
When dividing 59 by 16, we get 3 with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we take 48 away from 59, we end up with 11.
Append the next digit (6) from the dividend to 11 and continue with: 116 / 16

Moving on to step 3:
The number 16 fits into 116 7 times, leaving a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 37.0
Subtract 112 from 116 to get 4.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 16

Going ahead to step 4:
46 divided by 16 is 2 with a remainder of 14.
The number 2 becomes the next digit in our result. 
Result so far: 372.0
Deduct 32 from 46 and we're left with 14.
Take the next digit (1) from the dividend and append it to 14, then repeat: 141 / 16

Moving on to step 5:
141 divided by 16 is 8 with a remainder of 13.
Put 8 as the next digit of the answer. 
Result so far: 3728.0
Subtracting 128 from 141 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 6:
16 goes into 130 8 times with a remainder of 2.
The next digit of our result is 8. 
Result so far: 3728.8
If we take 128 away from 130, we end up with 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 7:
20 divided by 16 is 1 with a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 3728.81
Subtract 16 from 20 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 8:
16 can be fit into 40 2 times, resulting in a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 3728.812
If we subtract 32 from 40, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 9:
When dividing 80 by 16, we get 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 3728.8125
The remainder is 0 after subtracting 80 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 10:
If we divide 0 by 16, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 3728.8125
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 11:
16 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 3728.8125
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 3728.8125 with a remainder of 0.0.