We look at the division of 953174 by 16 
We want to divide 953174 by 16.

Let's proceed to step 1:
16 goes into 9 0 times with a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Grab the next digit (5) from the dividend, add it to 9, then carry on: 95 / 16

On to step 2:
When dividing 95 by 16, we get 5 with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtract 80 from 95 to get 15.
Grab the next digit (3) from the dividend, add it to 15, then carry on: 153 / 16

Moving on to step 3:
16 can be fit into 153 9 times, resulting in a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 59.0
Deduct 144 from 153 and we're left with 9.
Take the next digit (1) from the dividend and append it to 9, then repeat: 91 / 16

Step 4:
91 divided by 16 is 5 with a remainder of 11.
Record the quotient 5 as the next digit in the result. 
Result so far: 595.0
If we subtract 80 from 91, we get 11.
Include the next digit (7) from the dividend after 11, then repeat: 117 / 16

Going ahead to step 5:
16 goes into 117 7 times with a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 5957.0
Subtracting 112 from 117 leaves us with 5.
Grab the next digit (4) from the dividend, add it to 5, then carry on: 54 / 16

Advancing to step 6:
The number 16 fits into 54 3 times, leaving a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 59573.0
Subtract 48 from 54 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 7:
16 goes into 60 3 times with a remainder of 12.
Put 3 as the next digit of the answer. 
Result so far: 59573.3
If we subtract 48 from 60, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 8:
If we divide 120 by 16, we get 7 and a remainder of 8.
The next digit of our result is 7. 
Result so far: 59573.37
Subtracting 112 from 120 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 9:
16 can be fit into 80 5 times, resulting in a remainder of 0.
The next digit of our result is 5. 
Result so far: 59573.375
If we subtract 80 from 80, 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.

Moving on to step 10:
16 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 59573.375
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 11:
0 divided by 16 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 59573.375
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 59573.375 and a remainder of 0.0.