We look at the division of 901178 by 16 
Our goal is to divide 901178 by 16.

Step 1:
When dividing 9 by 16, we get 0 with a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Take the next digit (0) from the dividend and append it to 9, then repeat: 90 / 16

On to step 2:
16 goes into 90 5 times with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we take 80 away from 90, we end up with 10.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 16

Advancing to step 3:
The number 16 fits into 101 6 times, leaving a remainder of 5.
Write down 6 as next digit of the result. 
Result so far: 56.0
If we take 96 away from 101, we end up with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 16

Moving on to step 4:
The number 16 fits into 51 3 times, leaving a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 563.0
The remainder is 3 after subtracting 48 from 51.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 16

On to step 5:
If we divide 37 by 16, we get 2 and a remainder of 5.
The next digit of our result is 2. 
Result so far: 5632.0
The remainder is 5 after subtracting 32 from 37.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 16

Going ahead to step 6:
If we divide 58 by 16, we get 3 and a remainder of 10.
Write down 3 as next digit of the result. 
Result so far: 56323.0
If we take 48 away from 58, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 7:
When dividing 100 by 16, we get 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 56323.6
Subtracting 96 from 100 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 8:
If we divide 40 by 16, we get 2 and a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 56323.62
Deduct 32 from 40 and we're left 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.

Advancing to step 9:
16 can be fit into 80 5 times, resulting in a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 56323.625
If we take 80 away from 80, 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 10:
16 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 56323.625
Deduct 0 from 0 and we're left 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.

Going ahead to step 11:
The number 16 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 56323.625
Subtracting 0 from 0 leaves us 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.

The quotient of the division is 56323.625, and the remainder is 0.0.