We look at the division of 6641003 by 942 
We're looking to find how many times 942 goes into 6641003.

Moving on to step 1:
When dividing 6 by 942, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 942

Going ahead to step 2:
942 goes into 66 0 times with a remainder of 66.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 66 after subtracting 0 from 66.
Take the next digit (4) from the dividend and append it to 66, then repeat: 664 / 942

Advancing to step 3:
942 goes into 664 0 times with a remainder of 664.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 664, we get 664.
Append the next digit (1) from the dividend to 664 and continue with: 6641 / 942

Advancing to step 4:
6641 divided by 942 is 7 with a remainder of 47.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we take 6594 away from 6641, we end up with 47.
Include the next digit (0) from the dividend after 47, then repeat: 470 / 942

On to step 5:
942 can be fit into 470 0 times, resulting in a remainder of 470.
Put 0 as the next digit of the answer. 
Result so far: 70.0
The remainder is 470 after subtracting 0 from 470.
Bring next digit (0) of the dividend behind the 470 and repeat the process: 4700 / 942

Advancing to step 6:
When dividing 4700 by 942, we get 4 with a remainder of 932.
The number 4 becomes the next digit in our result. 
Result so far: 704.0
If we subtract 3768 from 4700, we get 932.
Bring next digit (3) of the dividend behind the 932 and repeat the process: 9323 / 942

Moving on to step 7:
942 goes into 9323 9 times with a remainder of 845.
Use 9 as the next digit of our solution. 
Result so far: 7049.0
Deduct 8478 from 9323 and we're left with 845.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8450, and continue the process.

Moving on to step 8:
When dividing 8450 by 942, we get 8 with a remainder of 914.
The number 8 becomes the next digit in our result. 
Result so far: 7049.8
The remainder is 914 after subtracting 7536 from 8450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9140, and continue the process.

Let's proceed to step 9:
942 can be fit into 9140 9 times, resulting in a remainder of 662.
Use 9 as the next digit of our solution. 
Result so far: 7049.89
Deduct 8478 from 9140 and we're left with 662.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6620, and continue the process.

Step 10:
When dividing 6620 by 942, we get 7 with a remainder of 26.
Put 7 as the next digit of the answer. 
Result so far: 7049.897
If we subtract 6594 from 6620, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 11:
When dividing 260 by 942, we get 0 with a remainder of 260.
Use 0 as the next digit of our solution. 
Result so far: 7049.897
Deduct 0 from 260 and we're left with 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2600, and continue the process.

Going ahead to step 12:
When dividing 2600 by 942, we get 2 with a remainder of 716.
Record the quotient 2 as the next digit in the result. 
Result so far: 7049.89702
Deduct 1884 from 2600 and we're left with 716.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7160, and continue the process.

Advancing to step 13:
When dividing 7160 by 942, we get 7 with a remainder of 566.
The next digit of our result is 7. 
Result so far: 7049.897027
The remainder is 566 after subtracting 6594 from 7160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5660, and continue the process.

Let's proceed to step 14:
When dividing 5660 by 942, we get 6 with a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 7049.8970276
Subtracting 5652 from 5660 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.

Advancing to step 15:
When dividing 80 by 942, we get 0 with a remainder of 80.
The number 0 becomes the next digit in our result. 
Result so far: 7049.8970276
If we subtract 0 from 80, we get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

The final result is 7049.8970276 with a remainder of 8e-08.