We divide 145642 by 37
We're looking to find how many times 37 goes into 145642.

Step 1:
37 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 37

Moving on to step 2:
The number 37 fits into 14 0 times, leaving a remainder of 14.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 14 to get 14.
Bring next digit (5) of the dividend behind the 14 and repeat the process: 145 / 37

Step 3:
37 goes into 145 3 times with a remainder of 34.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtracting 111 from 145 leaves us with 34.
Include the next digit (6) from the dividend after 34, then repeat: 346 / 37

Moving on to step 4:
346 divided by 37 is 9 with a remainder of 13.
Put 9 as the next digit of the answer. 
Result so far: 39.0
If we subtract 333 from 346, we get 13.
Append the next digit (4) from the dividend to 13 and continue with: 134 / 37

Step 5:
If we divide 134 by 37, we get 3 and a remainder of 23.
Use 3 as the next digit of our solution. 
Result so far: 393.0
If we subtract 111 from 134, we get 23.
Append the next digit (2) from the dividend to 23 and continue with: 232 / 37

Advancing to step 6:
When dividing 232 by 37, we get 6 with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 3936.0
Subtract 222 from 232 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 7:
37 goes into 100 2 times with a remainder of 26.
The next digit of our result is 2. 
Result so far: 3936.2
The remainder is 26 after subtracting 74 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 8:
When dividing 260 by 37, we get 7 with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 3936.27
If we take 259 away from 260, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 9:
37 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 3936.27
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 10:
37 can be fit into 100 2 times, resulting in a remainder of 26.
Record the quotient 2 as the next digit in the result. 
Result so far: 3936.2702
If we take 74 away from 100, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 11:
260 divided by 37 is 7 with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 3936.27027
Subtract 259 from 260 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 12:
37 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 3936.27027
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 13:
When dividing 100 by 37, we get 2 with a remainder of 26.
The number 2 becomes the next digit in our result. 
Result so far: 3936.2702702
If we take 74 away from 100, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 14:
The number 37 fits into 260 7 times, leaving a remainder of 1.
The next digit of our result is 7. 
Result so far: 3936.27027027
Deduct 259 from 260 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

In conclusion, the division gives 3936.27027027 with a balance of 1e-09.