We look at the division of 376974 by 61 
Our goal is to divide 376974 by 61.

Let's proceed to step 1:
If we divide 3 by 61, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 61

Let's proceed to step 2:
The number 61 fits into 37 0 times, leaving a remainder of 37.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 37, we end up with 37.
Fetch the next digit (6) from the dividend, attach it to 37 and continue: 376 / 61

Let's proceed to step 3:
376 divided by 61 is 6 with a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 366 from 376 and we're left with 10.
Fetch the next digit (9) from the dividend, attach it to 10 and continue: 109 / 61

On to step 4:
61 goes into 109 1 times with a remainder of 48.
The number 1 becomes the next digit in our result. 
Result so far: 61.0
The remainder is 48 after subtracting 61 from 109.
Take the next digit (7) from the dividend and append it to 48, then repeat: 487 / 61

Going ahead to step 5:
61 can be fit into 487 7 times, resulting in a remainder of 60.
Record the quotient 7 as the next digit in the result. 
Result so far: 617.0
The remainder is 60 after subtracting 427 from 487.
Bring next digit (4) of the dividend behind the 60 and repeat the process: 604 / 61

Moving on to step 6:
604 divided by 61 is 9 with a remainder of 55.
Record the quotient 9 as the next digit in the result. 
Result so far: 6179.0
Subtracting 549 from 604 leaves us with 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 7:
61 can be fit into 550 9 times, resulting in a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 6179.9
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.

On to step 8:
61 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 6179.9
Subtracting 0 from 10 leaves us 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.

Advancing to step 9:
61 goes into 100 1 times with a remainder of 39.
Write down 1 as next digit of the result. 
Result so far: 6179.901
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.

Moving on to step 10:
If we divide 390 by 61, we get 6 and a remainder of 24.
The next digit of our result is 6. 
Result so far: 6179.9016
Subtract 366 from 390 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 11:
If we divide 240 by 61, we get 3 and a remainder of 57.
Use 3 as the next digit of our solution. 
Result so far: 6179.90163
If we subtract 183 from 240, we 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.

On to step 12:
If we divide 570 by 61, we get 9 and a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 6179.901639
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.

Step 13:
210 divided by 61 is 3 with a remainder of 27.
The next digit of our result is 3. 
Result so far: 6179.9016393
If we subtract 183 from 210, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 14:
61 goes into 270 4 times with a remainder of 26.
Record the quotient 4 as the next digit in the result. 
Result so far: 6179.90163934
Subtracting 244 from 270 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The final outcome is 6179.90163934, with a leftover of 2.6e-08.