1637 divided by 61 
We're looking to find how many times 61 goes into 1637.

Step 1:
If we divide 1 by 61, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 61

Advancing to step 2:
When dividing 16 by 61, we get 0 with a remainder of 16.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 16, we get 16.
Take the next digit (3) from the dividend and append it to 16, then repeat: 163 / 61

Let's proceed to step 3:
61 goes into 163 2 times with a remainder of 41.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Deduct 122 from 163 and we're left with 41.
Append the next digit (7) from the dividend to 41 and continue with: 417 / 61

Advancing to step 4:
417 divided by 61 is 6 with a remainder of 51.
The number 6 becomes the next digit in our result. 
Result so far: 26.0
The remainder is 51 after subtracting 366 from 417.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Step 5:
510 divided by 61 is 8 with a remainder of 22.
The next digit of our result is 8. 
Result so far: 26.8
The remainder is 22 after subtracting 488 from 510.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 6:
If we divide 220 by 61, we get 3 and a remainder of 37.
The next digit of our result is 3. 
Result so far: 26.83
Subtract 183 from 220 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 7:
When dividing 370 by 61, we get 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 26.836
The remainder is 4 after subtracting 366 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 8:
61 can be fit into 40 0 times, resulting in a remainder of 40.
The next digit of our result is 0. 
Result so far: 26.836
Deduct 0 from 40 and we're left 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:
400 divided by 61 is 6 with a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 26.83606
If we take 366 away from 400, we end up 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.

Advancing to step 10:
If we divide 340 by 61, we get 5 and a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 26.836065
If we take 305 away from 340, we end up 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.

On to step 11:
350 divided by 61 is 5 with a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 26.8360655
If we take 305 away from 350, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

After the division, we end up with 26.8360655 and a remainder of 4.5e-07.