We look at the division of 674259 by 61 
We want to figure out the number of times 674259 can be divided by 61.

Step 1:
61 goes into 6 0 times with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 61

Let's proceed to step 2:
61 goes into 67 1 times with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 61 from 67, we get 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 61

On to step 3:
61 can be fit into 64 1 times, resulting in a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 11.0
Deduct 61 from 64 and we're left with 3.
Grab the next digit (2) from the dividend, add it to 3, then carry on: 32 / 61

On to step 4:
If we divide 32 by 61, we get 0 and a remainder of 32.
The next digit of our result is 0. 
Result so far: 110.0
Subtract 0 from 32 to get 32.
Append the next digit (5) from the dividend to 32 and continue with: 325 / 61

On to step 5:
61 goes into 325 5 times with a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 1105.0
If we subtract 305 from 325, we get 20.
Take the next digit (9) from the dividend and append it to 20, then repeat: 209 / 61

Let's proceed to step 6:
209 divided by 61 is 3 with a remainder of 26.
The next digit of our result is 3. 
Result so far: 11053.0
The remainder is 26 after subtracting 183 from 209.
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 7:
260 divided by 61 is 4 with a remainder of 16.
The next digit of our result is 4. 
Result so far: 11053.4
Subtract 244 from 260 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 8:
If we divide 160 by 61, we get 2 and a remainder of 38.
Put 2 as the next digit of the answer. 
Result so far: 11053.42
The remainder is 38 after subtracting 122 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 9:
The number 61 fits into 380 6 times, leaving a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 11053.426
If we take 366 away from 380, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 10:
140 divided by 61 is 2 with a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 11053.4262
The remainder is 18 after subtracting 122 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 11:
180 divided by 61 is 2 with a remainder of 58.
Record the quotient 2 as the next digit in the result. 
Result so far: 11053.42622
Deduct 122 from 180 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

The quotient of the division is 11053.42622, and the remainder is 5.8e-05.