We're dividing 37613 by 84 
We want to divide 37613 by 84.

Step 1:
When dividing 3 by 84, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 84

Moving on to step 2:
The number 84 fits into 37 0 times, leaving a remainder of 37.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 37 to get 37.
Grab the next digit (6) from the dividend, add it to 37, then carry on: 376 / 84

Moving on to step 3:
84 goes into 376 4 times with a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we take 336 away from 376, we end up with 40.
Include the next digit (1) from the dividend after 40, then repeat: 401 / 84

Moving on to step 4:
The number 84 fits into 401 4 times, leaving a remainder of 65.
Write down 4 as next digit of the result. 
Result so far: 44.0
Deduct 336 from 401 and we're left with 65.
Grab the next digit (3) from the dividend, add it to 65, then carry on: 653 / 84

Going ahead to step 5:
If we divide 653 by 84, we get 7 and a remainder of 65.
Use 7 as the next digit of our solution. 
Result so far: 447.0
If we subtract 588 from 653, we get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Let's proceed to step 6:
650 divided by 84 is 7 with a remainder of 62.
Write down 7 as next digit of the result. 
Result so far: 447.7
If we take 588 away from 650, we end up with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Let's proceed to step 7:
When dividing 620 by 84, we get 7 with a remainder of 32.
The next digit of our result is 7. 
Result so far: 447.77
Subtract 588 from 620 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 447.77 with a balance of 0.032.