We're dividing 354432 by 37 
We want to figure out the number of times 354432 can be divided by 37.

On to step 1:
If we divide 3 by 37, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 37

On to step 2:
37 can be fit into 35 0 times, resulting in a remainder of 35.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 35 leaves us with 35.
Include the next digit (4) from the dividend after 35, then repeat: 354 / 37

On to step 3:
When dividing 354 by 37, we get 9 with a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Deduct 333 from 354 and we're left with 21.
Grab the next digit (4) from the dividend, add it to 21, then carry on: 214 / 37

Let's proceed to step 4:
37 can be fit into 214 5 times, resulting in a remainder of 29.
The next digit of our result is 5. 
Result so far: 95.0
If we subtract 185 from 214, we get 29.
Bring next digit (3) of the dividend behind the 29 and repeat the process: 293 / 37

Step 5:
293 divided by 37 is 7 with a remainder of 34.
Write down 7 as next digit of the result. 
Result so far: 957.0
Subtract 259 from 293 to get 34.
Bring next digit (2) of the dividend behind the 34 and repeat the process: 342 / 37

Advancing to step 6:
The number 37 fits into 342 9 times, leaving a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 9579.0
If we subtract 333 from 342, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 7:
37 can be fit into 90 2 times, resulting in a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 9579.2
If we take 74 away from 90, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 8:
If we divide 160 by 37, we get 4 and a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 9579.24
Subtract 148 from 160 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 9:
The number 37 fits into 120 3 times, leaving a remainder of 9.
Use 3 as the next digit of our solution. 
Result so far: 9579.243
Deduct 111 from 120 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 10:
If we divide 90 by 37, we get 2 and a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 9579.2432
If we subtract 74 from 90, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 11:
37 goes into 160 4 times with a remainder of 12.
The next digit of our result is 4. 
Result so far: 9579.24324
Deduct 148 from 160 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 12:
37 can be fit into 120 3 times, resulting in a remainder of 9.
Write down 3 as next digit of the result. 
Result so far: 9579.243243
Subtracting 111 from 120 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 13:
The number 37 fits into 90 2 times, leaving a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 9579.2432432
Subtracting 74 from 90 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 14:
37 can be fit into 160 4 times, resulting in a remainder of 12.
The next digit of our result is 4. 
Result so far: 9579.24324324
If we take 148 away from 160, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

After the division, we end up with 9579.24324324 and a remainder of 1.2e-08.