351024 ÷ 37 
Our goal is to divide 351024 by 37.

Let's proceed to step 1:
When dividing 3 by 37, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 37

Going ahead to step 2:
If we divide 35 by 37, we get 0 and a remainder of 35.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 35 and we're left with 35.
Append the next digit (1) from the dividend to 35 and continue with: 351 / 37

On to step 3:
37 goes into 351 9 times with a remainder of 18.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Subtracting 333 from 351 leaves us with 18.
Include the next digit (0) from the dividend after 18, then repeat: 180 / 37

Going ahead to step 4:
When dividing 180 by 37, we get 4 with a remainder of 32.
Put 4 as the next digit of the answer. 
Result so far: 94.0
Deduct 148 from 180 and we're left with 32.
Bring next digit (2) of the dividend behind the 32 and repeat the process: 322 / 37

Advancing to step 5:
37 goes into 322 8 times with a remainder of 26.
The number 8 becomes the next digit in our result. 
Result so far: 948.0
Deduct 296 from 322 and we're left with 26.
Take the next digit (4) from the dividend and append it to 26, then repeat: 264 / 37

Step 6:
37 goes into 264 7 times with a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 9487.0
If we take 259 away from 264, 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.

Step 7:
If we divide 50 by 37, we get 1 and a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 9487.1
If we take 37 away from 50, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 8:
The number 37 fits into 130 3 times, leaving a remainder of 19.
The next digit of our result is 3. 
Result so far: 9487.13
If we subtract 111 from 130, we 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.

Let's proceed to step 9:
37 can be fit into 190 5 times, resulting in a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 9487.135
Subtracting 185 from 190 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.

On to step 10:
When dividing 50 by 37, we get 1 with a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 9487.1351
Subtract 37 from 50 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 11:
When dividing 130 by 37, we get 3 with a remainder of 19.
The number 3 becomes the next digit in our result. 
Result so far: 9487.13513
Subtract 111 from 130 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.

Advancing to step 12:
When dividing 190 by 37, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 9487.135135
Subtracting 185 from 190 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.

Step 13:
37 can be fit into 50 1 times, resulting in a remainder of 13.
The next digit of our result is 1. 
Result so far: 9487.1351351
Subtract 37 from 50 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 14:
If we divide 130 by 37, we get 3 and a remainder of 19.
Put 3 as the next digit of the answer. 
Result so far: 9487.13513513
If we subtract 111 from 130, we 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.

In conclusion, the division gives 9487.13513513 with a balance of 1.9e-08.