We're dividing 371042 by 61 
Let's see how many times 61 fits into 371042.

Going ahead 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
Deduct 0 from 3 and we're left with 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 61

Let's proceed to step 2:
When dividing 37 by 61, we get 0 with a remainder of 37.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 37 leaves us with 37.
Bring next digit (1) of the dividend behind the 37 and repeat the process: 371 / 61

Going ahead to step 3:
61 goes into 371 6 times with a remainder of 5.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtracting 366 from 371 leaves us with 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 61

Step 4:
61 can be fit into 50 0 times, resulting in a remainder of 50.
The next digit of our result is 0. 
Result so far: 60.0
Deduct 0 from 50 and we're left with 50.
Grab the next digit (4) from the dividend, add it to 50, then carry on: 504 / 61

Moving on to step 5:
When dividing 504 by 61, we get 8 with a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 608.0
The remainder is 16 after subtracting 488 from 504.
Grab the next digit (2) from the dividend, add it to 16, then carry on: 162 / 61

Moving on to step 6:
If we divide 162 by 61, we get 2 and a remainder of 40.
The next digit of our result is 2. 
Result so far: 6082.0
If we take 122 away from 162, we end up 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.

Going ahead to step 7:
61 goes into 400 6 times with a remainder of 34.
The number 6 becomes the next digit in our result. 
Result so far: 6082.6
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.

Let's proceed to step 8:
The number 61 fits into 340 5 times, leaving a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 6082.65
Subtract 305 from 340 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 9:
61 can be fit into 350 5 times, resulting in a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 6082.655
Subtracting 305 from 350 leaves us 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.

The quotient of the division is 6082.655, and the remainder is 0.0045.