We look at the division of 414972 by 61 
Our goal is to divide 414972 by 61.

Let's proceed to step 1:
4 divided by 61 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 61

Going ahead to step 2:
If we divide 41 by 61, we get 0 and a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Append the next digit (4) from the dividend to 41 and continue with: 414 / 61

Advancing to step 3:
61 goes into 414 6 times with a remainder of 48.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we take 366 away from 414, we end up with 48.
Fetch the next digit (9) from the dividend, attach it to 48 and continue: 489 / 61

Advancing to step 4:
61 goes into 489 8 times with a remainder of 1.
Use 8 as the next digit of our solution. 
Result so far: 68.0
The remainder is 1 after subtracting 488 from 489.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 61

Advancing to step 5:
The number 61 fits into 17 0 times, leaving a remainder of 17.
Use 0 as the next digit of our solution. 
Result so far: 680.0
If we subtract 0 from 17, we get 17.
Bring next digit (2) of the dividend behind the 17 and repeat the process: 172 / 61

On to step 6:
When dividing 172 by 61, we get 2 with a remainder of 50.
Use 2 as the next digit of our solution. 
Result so far: 6802.0
If we take 122 away from 172, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 7:
The number 61 fits into 500 8 times, leaving a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 6802.8
If we subtract 488 from 500, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 8:
When dividing 120 by 61, we get 1 with a remainder of 59.
Use 1 as the next digit of our solution. 
Result so far: 6802.81
Subtract 61 from 120 to get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Let's proceed to step 9:
61 can be fit into 590 9 times, resulting in a remainder of 41.
The number 9 becomes the next digit in our result. 
Result so far: 6802.819
Subtract 549 from 590 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 10:
The number 61 fits into 410 6 times, leaving a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 6802.8196
If we take 366 away from 410, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 11:
The number 61 fits into 440 7 times, leaving a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 6802.81967
If we subtract 427 from 440, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 12:
130 divided by 61 is 2 with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 6802.819672
If we subtract 122 from 130, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 13:
The number 61 fits into 80 1 times, leaving a remainder of 19.
Write down 1 as next digit of the result. 
Result so far: 6802.8196721
The remainder is 19 after subtracting 61 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 14:
190 divided by 61 is 3 with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 6802.81967213
If we subtract 183 from 190, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

After the division, we end up with 6802.81967213 and a remainder of 7e-09.