40633354 divided by 953 
We want to divide 40633354 by 953.

Let's proceed to step 1:
4 divided by 953 is 0 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.
Grab the next digit (0) from the dividend, add it to 4, then carry on: 40 / 953

Going ahead to step 2:
40 divided by 953 is 0 with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 40, we get 40.
Append the next digit (6) from the dividend to 40 and continue with: 406 / 953

Step 3:
If we divide 406 by 953, we get 0 and a remainder of 406.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 406, we end up with 406.
Bring next digit (3) of the dividend behind the 406 and repeat the process: 4063 / 953

Step 4:
953 can be fit into 4063 4 times, resulting in a remainder of 251.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Deduct 3812 from 4063 and we're left with 251.
Fetch the next digit (3) from the dividend, attach it to 251 and continue: 2513 / 953

On to step 5:
If we divide 2513 by 953, we get 2 and a remainder of 607.
Put 2 as the next digit of the answer. 
Result so far: 42.0
Subtract 1906 from 2513 to get 607.
Take the next digit (3) from the dividend and append it to 607, then repeat: 6073 / 953

Advancing to step 6:
953 goes into 6073 6 times with a remainder of 355.
Record the quotient 6 as the next digit in the result. 
Result so far: 426.0
If we subtract 5718 from 6073, we get 355.
Append the next digit (5) from the dividend to 355 and continue with: 3555 / 953

Let's proceed to step 7:
The number 953 fits into 3555 3 times, leaving a remainder of 696.
The next digit of our result is 3. 
Result so far: 4263.0
If we subtract 2859 from 3555, we get 696.
Bring next digit (4) of the dividend behind the 696 and repeat the process: 6964 / 953

Step 8:
953 can be fit into 6964 7 times, resulting in a remainder of 293.
Use 7 as the next digit of our solution. 
Result so far: 42637.0
Deduct 6671 from 6964 and we're left with 293.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2930, and continue the process.

Advancing to step 9:
If we divide 2930 by 953, we get 3 and a remainder of 71.
The next digit of our result is 3. 
Result so far: 42637.3
The remainder is 71 after subtracting 2859 from 2930.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Advancing to step 10:
953 can be fit into 710 0 times, resulting in a remainder of 710.
The next digit of our result is 0. 
Result so far: 42637.3
If we take 0 away from 710, we end up with 710.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7100, and continue the process.

Advancing to step 11:
If we divide 7100 by 953, we get 7 and a remainder of 429.
Write down 7 as next digit of the result. 
Result so far: 42637.307
Subtract 6671 from 7100 to get 429.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4290, and continue the process.

Moving on to step 12:
953 can be fit into 4290 4 times, resulting in a remainder of 478.
Write down 4 as next digit of the result. 
Result so far: 42637.3074
If we subtract 3812 from 4290, we get 478.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4780, and continue the process.

Moving on to step 13:
The number 953 fits into 4780 5 times, leaving a remainder of 15.
The next digit of our result is 5. 
Result so far: 42637.30745
If we take 4765 away from 4780, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 14:
If we divide 150 by 953, we get 0 and a remainder of 150.
Use 0 as the next digit of our solution. 
Result so far: 42637.30745
If we subtract 0 from 150, we 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.

Moving on to step 15:
When dividing 1500 by 953, we get 1 with a remainder of 547.
Write down 1 as next digit of the result. 
Result so far: 42637.3074501
Deduct 953 from 1500 and we're left with 547.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5470, and continue the process.

Step 16:
When dividing 5470 by 953, we get 5 with a remainder of 705.
Write down 5 as next digit of the result. 
Result so far: 42637.30745015
Deduct 4765 from 5470 and we're left with 705.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7050, and continue the process.

After the division, we end up with 42637.30745015 and a remainder of 7.05e-07.