We're dividing 71195 by 45 
Our goal is to divide 71195 by 45.

Moving on to step 1:
The number 45 fits into 7 0 times, leaving a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 45

Going ahead to step 2:
71 divided by 45 is 1 with a remainder of 26.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 45 from 71 and we're left with 26.
Take the next digit (1) from the dividend and append it to 26, then repeat: 261 / 45

Going ahead to step 3:
45 goes into 261 5 times with a remainder of 36.
Use 5 as the next digit of our solution. 
Result so far: 15.0
If we take 225 away from 261, we end up with 36.
Fetch the next digit (9) from the dividend, attach it to 36 and continue: 369 / 45

Moving on to step 4:
If we divide 369 by 45, we get 8 and a remainder of 9.
The next digit of our result is 8. 
Result so far: 158.0
If we take 360 away from 369, we end up with 9.
Fetch the next digit (5) from the dividend, attach it to 9 and continue: 95 / 45

Advancing to step 5:
45 goes into 95 2 times with a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 1582.0
Subtracting 90 from 95 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 6:
The number 45 fits into 50 1 times, leaving a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 1582.1
Subtract 45 from 50 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 7:
If we divide 50 by 45, we get 1 and a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 1582.11
If we take 45 away from 50, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Our division results in 1582.11 with a remaining 0.005.