We're dividing 948126 by 16 
Let's see how many times 16 fits into 948126.

Advancing to step 1:
16 goes into 9 0 times with a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Include the next digit (4) from the dividend after 9, then repeat: 94 / 16

Moving on to step 2:
94 divided by 16 is 5 with a remainder of 14.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtracting 80 from 94 leaves us with 14.
Include the next digit (8) from the dividend after 14, then repeat: 148 / 16

Advancing to step 3:
16 goes into 148 9 times with a remainder of 4.
The next digit of our result is 9. 
Result so far: 59.0
If we take 144 away from 148, we end up with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 16

Advancing to step 4:
16 can be fit into 41 2 times, resulting in a remainder of 9.
The number 2 becomes the next digit in our result. 
Result so far: 592.0
Subtract 32 from 41 to get 9.
Grab the next digit (2) from the dividend, add it to 9, then carry on: 92 / 16

Advancing to step 5:
92 divided by 16 is 5 with a remainder of 12.
Use 5 as the next digit of our solution. 
Result so far: 5925.0
Subtract 80 from 92 to get 12.
Bring next digit (6) of the dividend behind the 12 and repeat the process: 126 / 16

Going ahead to step 6:
16 can be fit into 126 7 times, resulting in a remainder of 14.
Use 7 as the next digit of our solution. 
Result so far: 59257.0
Subtracting 112 from 126 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 7:
The number 16 fits into 140 8 times, leaving a remainder of 12.
The next digit of our result is 8. 
Result so far: 59257.8
Deduct 128 from 140 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 8:
16 goes into 120 7 times with a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 59257.87
Deduct 112 from 120 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 goes into 80 5 times with a remainder of 0.
The next digit of our result is 5. 
Result so far: 59257.875
Deduct 80 from 80 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.

On to step 10:
0 divided by 16 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 59257.875
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.

Advancing to step 11:
16 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 59257.875
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.

The quotient of the division is 59257.875, and the remainder is 0.0.