Let's divide 36437 by 61
Our goal is to divide 36437 by 61.

On to step 1:
61 can be fit into 3 0 times, resulting in a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 61

Step 2:
36 divided by 61 is 0 with a remainder of 36.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 36 after subtracting 0 from 36.
Fetch the next digit (4) from the dividend, attach it to 36 and continue: 364 / 61

On to step 3:
When dividing 364 by 61, we get 5 with a remainder of 59.
The next digit of our result is 5. 
Result so far: 5.0
Subtracting 305 from 364 leaves us with 59.
Grab the next digit (3) from the dividend, add it to 59, then carry on: 593 / 61

On to step 4:
When dividing 593 by 61, we get 9 with a remainder of 44.
Put 9 as the next digit of the answer. 
Result so far: 59.0
If we take 549 away from 593, we end up with 44.
Append the next digit (7) from the dividend to 44 and continue with: 447 / 61

Let's proceed to step 5:
When dividing 447 by 61, we get 7 with a remainder of 20.
Write down 7 as next digit of the result. 
Result so far: 597.0
If we take 427 away from 447, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 6:
61 can be fit into 200 3 times, resulting in a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 597.3
Subtract 183 from 200 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 7:
61 goes into 170 2 times with a remainder of 48.
Record the quotient 2 as the next digit in the result. 
Result so far: 597.32
If we take 122 away from 170, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 8:
61 goes into 480 7 times with a remainder of 53.
The next digit of our result is 7. 
Result so far: 597.327
The remainder is 53 after subtracting 427 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Going ahead to step 9:
530 divided by 61 is 8 with a remainder of 42.
Use 8 as the next digit of our solution. 
Result so far: 597.3278
Deduct 488 from 530 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 10:
61 goes into 420 6 times with a remainder of 54.
The next digit of our result is 6. 
Result so far: 597.32786
The remainder is 54 after subtracting 366 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 11:
When dividing 540 by 61, we get 8 with a remainder of 52.
The next digit of our result is 8. 
Result so far: 597.327868
If we take 488 away from 540, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 12:
The number 61 fits into 520 8 times, leaving a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 597.3278688
Deduct 488 from 520 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

After the division, we end up with 597.3278688 and a remainder of 3.2e-07.