We look at the division of 34916679 by 944 
We want to figure out the number of times 34916679 can be divided by 944.

Let's proceed to step 1:
When dividing 3 by 944, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 944

Moving on to step 2:
If we divide 34 by 944, we get 0 and a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 34 leaves us with 34.
Append the next digit (9) from the dividend to 34 and continue with: 349 / 944

Advancing to step 3:
349 divided by 944 is 0 with a remainder of 349.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 349 leaves us with 349.
Take the next digit (1) from the dividend and append it to 349, then repeat: 3491 / 944

Let's proceed to step 4:
When dividing 3491 by 944, we get 3 with a remainder of 659.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we subtract 2832 from 3491, we get 659.
Grab the next digit (6) from the dividend, add it to 659, then carry on: 6596 / 944

Advancing to step 5:
If we divide 6596 by 944, we get 6 and a remainder of 932.
The next digit of our result is 6. 
Result so far: 36.0
The remainder is 932 after subtracting 5664 from 6596.
Fetch the next digit (6) from the dividend, attach it to 932 and continue: 9326 / 944

On to step 6:
944 goes into 9326 9 times with a remainder of 830.
Use 9 as the next digit of our solution. 
Result so far: 369.0
If we subtract 8496 from 9326, we get 830.
Take the next digit (7) from the dividend and append it to 830, then repeat: 8307 / 944

Going ahead to step 7:
When dividing 8307 by 944, we get 8 with a remainder of 755.
The next digit of our result is 8. 
Result so far: 3698.0
Deduct 7552 from 8307 and we're left with 755.
Take the next digit (9) from the dividend and append it to 755, then repeat: 7559 / 944

Advancing to step 8:
7559 divided by 944 is 8 with a remainder of 7.
Write down 8 as next digit of the result. 
Result so far: 36988.0
If we take 7552 away from 7559, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 9:
70 divided by 944 is 0 with a remainder of 70.
Write down 0 as next digit of the result. 
Result so far: 36988.0
If we subtract 0 from 70, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 10:
944 goes into 700 0 times with a remainder of 700.
Put 0 as the next digit of the answer. 
Result so far: 36988.0
If we subtract 0 from 700, we get 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7000, and continue the process.

The final result is 36988.0 with a remainder of 0.7.