769294 ÷ 45 
We want to divide 769294 by 45.

Advancing to step 1:
When dividing 7 by 45, we get 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 45

Moving on to step 2:
When dividing 76 by 45, we get 1 with a remainder of 31.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 45 from 76 and we're left with 31.
Append the next digit (9) from the dividend to 31 and continue with: 319 / 45

On to step 3:
45 can be fit into 319 7 times, resulting in a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
If we subtract 315 from 319, we get 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 45

Moving on to step 4:
If we divide 42 by 45, we get 0 and a remainder of 42.
Write down 0 as next digit of the result. 
Result so far: 170.0
Subtract 0 from 42 to get 42.
Grab the next digit (9) from the dividend, add it to 42, then carry on: 429 / 45

Moving on to step 5:
429 divided by 45 is 9 with a remainder of 24.
Put 9 as the next digit of the answer. 
Result so far: 1709.0
Subtracting 405 from 429 leaves us with 24.
Append the next digit (4) from the dividend to 24 and continue with: 244 / 45

Advancing to step 6:
244 divided by 45 is 5 with a remainder of 19.
The number 5 becomes the next digit in our result. 
Result so far: 17095.0
Subtract 225 from 244 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 7:
190 divided by 45 is 4 with a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 17095.4
If we subtract 180 from 190, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
When dividing 100 by 45, we get 2 with a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 17095.42
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 9:
45 can be fit into 100 2 times, resulting in a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 17095.422
If we take 90 away from 100, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 17095.422, and the remainder is 0.001.