We're dividing 476889 by 642 
We want to figure out the number of times 476889 can be divided by 642.

Let's proceed to step 1:
If we divide 4 by 642, we get 0 and a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 642

Going ahead to step 2:
642 can be fit into 47 0 times, resulting in a remainder of 47.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 47 and we're left with 47.
Grab the next digit (6) from the dividend, add it to 47, then carry on: 476 / 642

Going ahead to step 3:
642 goes into 476 0 times with a remainder of 476.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 476 leaves us with 476.
Take the next digit (8) from the dividend and append it to 476, then repeat: 4768 / 642

Moving on to step 4:
If we divide 4768 by 642, we get 7 and a remainder of 274.
Use 7 as the next digit of our solution. 
Result so far: 7.0
The remainder is 274 after subtracting 4494 from 4768.
Take the next digit (8) from the dividend and append it to 274, then repeat: 2748 / 642

On to step 5:
When dividing 2748 by 642, we get 4 with a remainder of 180.
Put 4 as the next digit of the answer. 
Result so far: 74.0
If we subtract 2568 from 2748, we get 180.
Bring next digit (9) of the dividend behind the 180 and repeat the process: 1809 / 642

Step 6:
When dividing 1809 by 642, we get 2 with a remainder of 525.
The next digit of our result is 2. 
Result so far: 742.0
Deduct 1284 from 1809 and we're left with 525.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5250, and continue the process.

Moving on to step 7:
642 goes into 5250 8 times with a remainder of 114.
The number 8 becomes the next digit in our result. 
Result so far: 742.8
Deduct 5136 from 5250 and we're left with 114.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1140, and continue the process.

Going ahead to step 8:
If we divide 1140 by 642, we get 1 and a remainder of 498.
The next digit of our result is 1. 
Result so far: 742.81
Subtract 642 from 1140 to get 498.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4980, and continue the process.

On to step 9:
642 can be fit into 4980 7 times, resulting in a remainder of 486.
Use 7 as the next digit of our solution. 
Result so far: 742.817
If we subtract 4494 from 4980, we get 486.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4860, and continue the process.

Step 10:
642 can be fit into 4860 7 times, resulting in a remainder of 366.
Use 7 as the next digit of our solution. 
Result so far: 742.8177
Subtracting 4494 from 4860 leaves us with 366.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3660, and continue the process.

The final result is 742.8177 with a remainder of 0.00366.