We look at the division of 378289 by 61 
We want to figure out the number of times 378289 can be divided by 61.

Let's proceed to step 1:
61 goes into 3 0 times with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 61

Let's proceed to step 2:
37 divided by 61 is 0 with a remainder of 37.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 37, we end up with 37.
Grab the next digit (8) from the dividend, add it to 37, then carry on: 378 / 61

Let's proceed to step 3:
378 divided by 61 is 6 with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 366 from 378, we get 12.
Take the next digit (2) from the dividend and append it to 12, then repeat: 122 / 61

Moving on to step 4:
61 can be fit into 122 2 times, resulting in a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 62.0
Deduct 122 from 122 and we're left with 0.
Include the next digit (8) from the dividend after 0, then repeat: 8 / 61

Going ahead to step 5:
The number 61 fits into 8 0 times, leaving a remainder of 8.
The next digit of our result is 0. 
Result so far: 620.0
If we take 0 away from 8, we end up with 8.
Include the next digit (9) from the dividend after 8, then repeat: 89 / 61

Let's proceed to step 6:
61 can be fit into 89 1 times, resulting in a remainder of 28.
Put 1 as the next digit of the answer. 
Result so far: 6201.0
The remainder is 28 after subtracting 61 from 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 7:
If we divide 280 by 61, we get 4 and a remainder of 36.
Record the quotient 4 as the next digit in the result. 
Result so far: 6201.4
If we take 244 away from 280, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 8:
61 goes into 360 5 times with a remainder of 55.
The next digit of our result is 5. 
Result so far: 6201.45
Subtract 305 from 360 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 9:
The number 61 fits into 550 9 times, leaving a remainder of 1.
The next digit of our result is 9. 
Result so far: 6201.459
Subtract 549 from 550 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 10:
When dividing 10 by 61, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 6201.459
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 11:
100 divided by 61 is 1 with a remainder of 39.
Use 1 as the next digit of our solution. 
Result so far: 6201.45901
If we take 61 away from 100, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 12:
If we divide 390 by 61, we get 6 and a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 6201.459016
If we take 366 away from 390, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 13:
61 goes into 240 3 times with a remainder of 57.
Put 3 as the next digit of the answer. 
Result so far: 6201.4590163
Subtract 183 from 240 to get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Going ahead to step 14:
61 goes into 570 9 times with a remainder of 21.
Put 9 as the next digit of the answer. 
Result so far: 6201.45901639
Subtract 549 from 570 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

After the division, we end up with 6201.45901639 and a remainder of 2.1e-08.