We look at the division of 354289 by 37 
We're looking to find how many times 37 goes into 354289.

Moving on to step 1:
When dividing 3 by 37, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 37

Moving on to step 2:
When dividing 35 by 37, we get 0 with a remainder of 35.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Take the next digit (4) from the dividend and append it to 35, then repeat: 354 / 37

Let's proceed to step 3:
When dividing 354 by 37, we get 9 with a remainder of 21.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Deduct 333 from 354 and we're left with 21.
Grab the next digit (2) from the dividend, add it to 21, then carry on: 212 / 37

Advancing to step 4:
37 goes into 212 5 times with a remainder of 27.
Record the quotient 5 as the next digit in the result. 
Result so far: 95.0
If we subtract 185 from 212, we get 27.
Append the next digit (8) from the dividend to 27 and continue with: 278 / 37

Going ahead to step 5:
If we divide 278 by 37, we get 7 and a remainder of 19.
Put 7 as the next digit of the answer. 
Result so far: 957.0
Deduct 259 from 278 and we're left with 19.
Take the next digit (9) from the dividend and append it to 19, then repeat: 199 / 37

Advancing to step 6:
When dividing 199 by 37, we get 5 with a remainder of 14.
Write down 5 as next digit of the result. 
Result so far: 9575.0
Subtract 185 from 199 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.

Advancing to step 7:
37 can be fit into 140 3 times, resulting in a remainder of 29.
The number 3 becomes the next digit in our result. 
Result so far: 9575.3
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.

Going ahead to step 8:
If we divide 290 by 37, we get 7 and a remainder of 31.
The number 7 becomes the next digit in our result. 
Result so far: 9575.37
If we take 259 away from 290, we end up 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.

Let's proceed to step 9:
When dividing 310 by 37, we get 8 with a remainder of 14.
The next digit of our result is 8. 
Result so far: 9575.378
If we subtract 296 from 310, we 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.

Going ahead to step 10:
37 goes into 140 3 times with a remainder of 29.
The number 3 becomes the next digit in our result. 
Result so far: 9575.3783
Subtract 111 from 140 to 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.

Let's proceed to step 11:
290 divided by 37 is 7 with a remainder of 31.
The next digit of our result is 7. 
Result so far: 9575.37837
If we subtract 259 from 290, we get 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 12:
If we divide 310 by 37, we get 8 and a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 9575.378378
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.

Going ahead to step 13:
When dividing 140 by 37, we get 3 with a remainder of 29.
The next digit of our result is 3. 
Result so far: 9575.3783783
Subtracting 111 from 140 leaves us 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.

Let's proceed to step 14:
The number 37 fits into 290 7 times, leaving a remainder of 31.
Record the quotient 7 as the next digit in the result. 
Result so far: 9575.37837837
The remainder is 31 after subtracting 259 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

In conclusion, the division gives 9575.37837837 with a balance of 3.1e-08.