We're dividing 37659 by 61 
Let's see how many times 61 fits into 37659.

Advancing to step 1:
If we divide 3 by 61, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 61

Going ahead to step 2:
37 divided by 61 is 0 with a remainder of 37.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 37, we get 37.
Grab the next digit (6) from the dividend, add it to 37, then carry on: 376 / 61

Going ahead to step 3:
61 goes into 376 6 times with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
The remainder is 10 after subtracting 366 from 376.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 61

Let's proceed to step 4:
If we divide 105 by 61, we get 1 and a remainder of 44.
Use 1 as the next digit of our solution. 
Result so far: 61.0
Subtracting 61 from 105 leaves us with 44.
Bring next digit (9) of the dividend behind the 44 and repeat the process: 449 / 61

Let's proceed to step 5:
When dividing 449 by 61, we get 7 with a remainder of 22.
Record the quotient 7 as the next digit in the result. 
Result so far: 617.0
Deduct 427 from 449 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 6:
When dividing 220 by 61, we get 3 with a remainder of 37.
Use 3 as the next digit of our solution. 
Result so far: 617.3
Deduct 183 from 220 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Advancing to step 7:
61 goes into 370 6 times with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 617.36
Subtract 366 from 370 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 8:
When dividing 40 by 61, we get 0 with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 617.36
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 9:
The number 61 fits into 400 6 times, leaving a remainder of 34.
Put 6 as the next digit of the answer. 
Result so far: 617.3606
Subtracting 366 from 400 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 10:
340 divided by 61 is 5 with a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 617.36065
Subtracting 305 from 340 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 11:
If we divide 350 by 61, we get 5 and a remainder of 45.
Put 5 as the next digit of the answer. 
Result so far: 617.360655
If we subtract 305 from 350, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

In conclusion, the division gives 617.360655 with a balance of 4.5e-06.