35836874 ÷ 45 
We want to figure out the number of times 35836874 can be divided by 45.

Step 1:
The number 45 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 45

On to step 2:
45 goes into 35 0 times with a remainder of 35.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 35 and we're left with 35.
Grab the next digit (8) from the dividend, add it to 35, then carry on: 358 / 45

Let's proceed to step 3:
45 can be fit into 358 7 times, resulting in a remainder of 43.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we take 315 away from 358, we end up with 43.
Take the next digit (3) from the dividend and append it to 43, then repeat: 433 / 45

Moving on to step 4:
The number 45 fits into 433 9 times, leaving a remainder of 28.
Record the quotient 9 as the next digit in the result. 
Result so far: 79.0
The remainder is 28 after subtracting 405 from 433.
Bring next digit (6) of the dividend behind the 28 and repeat the process: 286 / 45

Moving on to step 5:
45 goes into 286 6 times with a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 796.0
Subtract 270 from 286 to get 16.
Include the next digit (8) from the dividend after 16, then repeat: 168 / 45

Advancing to step 6:
When dividing 168 by 45, we get 3 with a remainder of 33.
Use 3 as the next digit of our solution. 
Result so far: 7963.0
The remainder is 33 after subtracting 135 from 168.
Bring next digit (7) of the dividend behind the 33 and repeat the process: 337 / 45

Let's proceed to step 7:
If we divide 337 by 45, we get 7 and a remainder of 22.
Use 7 as the next digit of our solution. 
Result so far: 79637.0
The remainder is 22 after subtracting 315 from 337.
Append the next digit (4) from the dividend to 22 and continue with: 224 / 45

Let's proceed to step 8:
224 divided by 45 is 4 with a remainder of 44.
Put 4 as the next digit of the answer. 
Result so far: 796374.0
If we subtract 180 from 224, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 9:
45 can be fit into 440 9 times, resulting in a remainder of 35.
The number 9 becomes the next digit in our result. 
Result so far: 796374.9
Subtracting 405 from 440 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 10:
45 goes into 350 7 times with a remainder of 35.
Put 7 as the next digit of the answer. 
Result so far: 796374.97
Subtracting 315 from 350 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 11:
350 divided by 45 is 7 with a remainder of 35.
Put 7 as the next digit of the answer. 
Result so far: 796374.977
If we take 315 away from 350, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The quotient of the division is 796374.977, and the remainder is 0.0035.