Let's divide 132417 by 37
Our goal is to divide 132417 by 37.

Moving on to step 1:
If we divide 1 by 37, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 37

Advancing to step 2:
13 divided by 37 is 0 with a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 13, we get 13.
Take the next digit (2) from the dividend and append it to 13, then repeat: 132 / 37

Moving on to step 3:
37 goes into 132 3 times with a remainder of 21.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtract 111 from 132 to get 21.
Grab the next digit (4) from the dividend, add it to 21, then carry on: 214 / 37

Step 4:
37 goes into 214 5 times with a remainder of 29.
Record the quotient 5 as the next digit in the result. 
Result so far: 35.0
Deduct 185 from 214 and we're left with 29.
Bring next digit (1) of the dividend behind the 29 and repeat the process: 291 / 37

On to step 5:
291 divided by 37 is 7 with a remainder of 32.
The next digit of our result is 7. 
Result so far: 357.0
If we take 259 away from 291, we end up with 32.
Append the next digit (7) from the dividend to 32 and continue with: 327 / 37

Moving on to step 6:
The number 37 fits into 327 8 times, leaving a remainder of 31.
The next digit of our result is 8. 
Result so far: 3578.0
The remainder is 31 after subtracting 296 from 327.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 7:
37 can be fit into 310 8 times, resulting in a remainder of 14.
The next digit of our result is 8. 
Result so far: 3578.8
Deduct 296 from 310 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 8:
37 can be fit into 140 3 times, resulting in a remainder of 29.
Write down 3 as next digit of the result. 
Result so far: 3578.83
If we take 111 away from 140, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 9:
37 goes into 290 7 times with a remainder of 31.
Record the quotient 7 as the next digit in the result. 
Result so far: 3578.837
Deduct 259 from 290 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 10:
When dividing 310 by 37, we get 8 with a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 3578.8378
Subtract 296 from 310 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 11:
37 goes into 140 3 times with a remainder of 29.
The number 3 becomes the next digit in our result. 
Result so far: 3578.83783
If we subtract 111 from 140, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 12:
37 goes into 290 7 times with a remainder of 31.
Use 7 as the next digit of our solution. 
Result so far: 3578.837837
Subtracting 259 from 290 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 13:
When dividing 310 by 37, we get 8 with a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 3578.8378378
Deduct 296 from 310 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 14:
37 goes into 140 3 times with a remainder of 29.
Use 3 as the next digit of our solution. 
Result so far: 3578.83783783
Deduct 111 from 140 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Our division results in 3578.83783783 with a remaining 2.9e-08.