We're dividing 42901910 by 968 
We want to figure out the number of times 42901910 can be divided by 968.

Advancing to step 1:
968 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 968

Step 2:
When dividing 42 by 968, we get 0 with a remainder of 42.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 42 after subtracting 0 from 42.
Bring next digit (9) of the dividend behind the 42 and repeat the process: 429 / 968

Advancing to step 3:
When dividing 429 by 968, we get 0 with a remainder of 429.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 429 and we're left with 429.
Fetch the next digit (0) from the dividend, attach it to 429 and continue: 4290 / 968

Let's proceed to step 4:
When dividing 4290 by 968, we get 4 with a remainder of 418.
The next digit of our result is 4. 
Result so far: 4.0
Deduct 3872 from 4290 and we're left with 418.
Grab the next digit (1) from the dividend, add it to 418, then carry on: 4181 / 968

On to step 5:
968 goes into 4181 4 times with a remainder of 309.
The next digit of our result is 4. 
Result so far: 44.0
Subtract 3872 from 4181 to get 309.
Bring next digit (9) of the dividend behind the 309 and repeat the process: 3099 / 968

Going ahead to step 6:
968 goes into 3099 3 times with a remainder of 195.
The next digit of our result is 3. 
Result so far: 443.0
Subtracting 2904 from 3099 leaves us with 195.
Bring next digit (1) of the dividend behind the 195 and repeat the process: 1951 / 968

Let's proceed to step 7:
968 can be fit into 1951 2 times, resulting in a remainder of 15.
Write down 2 as next digit of the result. 
Result so far: 4432.0
Subtract 1936 from 1951 to get 15.
Take the next digit (0) from the dividend and append it to 15, then repeat: 150 / 968

Step 8:
When dividing 150 by 968, we get 0 with a remainder of 150.
Use 0 as the next digit of our solution. 
Result so far: 44320.0
Subtract 0 from 150 to get 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1500, and continue the process.

Step 9:
When dividing 1500 by 968, we get 1 with a remainder of 532.
Record the quotient 1 as the next digit in the result. 
Result so far: 44320.1
Deduct 968 from 1500 and we're left with 532.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5320, and continue the process.

Moving on to step 10:
5320 divided by 968 is 5 with a remainder of 480.
The number 5 becomes the next digit in our result. 
Result so far: 44320.15
The remainder is 480 after subtracting 4840 from 5320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4800, and continue the process.

Going ahead to step 11:
The number 968 fits into 4800 4 times, leaving a remainder of 928.
Put 4 as the next digit of the answer. 
Result so far: 44320.154
Subtracting 3872 from 4800 leaves us with 928.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9280, and continue the process.

Step 12:
968 goes into 9280 9 times with a remainder of 568.
Put 9 as the next digit of the answer. 
Result so far: 44320.1549
Subtract 8712 from 9280 to get 568.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5680, and continue the process.

Step 13:
The number 968 fits into 5680 5 times, leaving a remainder of 840.
The next digit of our result is 5. 
Result so far: 44320.15495
The remainder is 840 after subtracting 4840 from 5680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8400, and continue the process.

Going ahead to step 14:
The number 968 fits into 8400 8 times, leaving a remainder of 656.
Use 8 as the next digit of our solution. 
Result so far: 44320.154958
If we take 7744 away from 8400, we end up with 656.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6560, and continue the process.

Moving on to step 15:
968 goes into 6560 6 times with a remainder of 752.
The next digit of our result is 6. 
Result so far: 44320.1549586
If we take 5808 away from 6560, we end up with 752.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7520, and continue the process.

Going ahead to step 16:
7520 divided by 968 is 7 with a remainder of 744.
Use 7 as the next digit of our solution. 
Result so far: 44320.15495867
Deduct 6776 from 7520 and we're left with 744.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7440, and continue the process.

The final outcome is 44320.15495867, with a leftover of 7.44e-07.