Let's divide 35978321 by 303
We're looking to find how many times 303 goes into 35978321.

Advancing to step 1:
When dividing 3 by 303, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 303

On to step 2:
303 can be fit into 35 0 times, resulting in a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 35, we get 35.
Take the next digit (9) from the dividend and append it to 35, then repeat: 359 / 303

Moving on to step 3:
303 goes into 359 1 times with a remainder of 56.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 303 away from 359, we end up with 56.
Grab the next digit (7) from the dividend, add it to 56, then carry on: 567 / 303

Going ahead to step 4:
The number 303 fits into 567 1 times, leaving a remainder of 264.
The next digit of our result is 1. 
Result so far: 11.0
Deduct 303 from 567 and we're left with 264.
Grab the next digit (8) from the dividend, add it to 264, then carry on: 2648 / 303

Moving on to step 5:
When dividing 2648 by 303, we get 8 with a remainder of 224.
Use 8 as the next digit of our solution. 
Result so far: 118.0
If we subtract 2424 from 2648, we get 224.
Include the next digit (3) from the dividend after 224, then repeat: 2243 / 303

Moving on to step 6:
When dividing 2243 by 303, we get 7 with a remainder of 122.
The next digit of our result is 7. 
Result so far: 1187.0
Subtract 2121 from 2243 to get 122.
Grab the next digit (2) from the dividend, add it to 122, then carry on: 1222 / 303

Advancing to step 7:
303 goes into 1222 4 times with a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 11874.0
The remainder is 10 after subtracting 1212 from 1222.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 303

On to step 8:
The number 303 fits into 101 0 times, leaving a remainder of 101.
Put 0 as the next digit of the answer. 
Result so far: 118740.0
If we take 0 away from 101, we end up with 101.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1010, and continue the process.

Let's proceed to step 9:
When dividing 1010 by 303, we get 3 with a remainder of 101.
Use 3 as the next digit of our solution. 
Result so far: 118740.3
If we subtract 909 from 1010, we get 101.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1010, and continue the process.

On to step 10:
The number 303 fits into 1010 3 times, leaving a remainder of 101.
Put 3 as the next digit of the answer. 
Result so far: 118740.33
If we subtract 909 from 1010, we get 101.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1010, and continue the process.

Our division results in 118740.33 with a remaining 0.101.