838312 ÷ 61 
Our goal is to divide 838312 by 61.

Going ahead to step 1:
If we divide 8 by 61, we get 0 and a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Grab the next digit (3) from the dividend, add it to 8, then carry on: 83 / 61

Step 2:
If we divide 83 by 61, we get 1 and a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 61 from 83 and we're left with 22.
Grab the next digit (8) from the dividend, add it to 22, then carry on: 228 / 61

Let's proceed to step 3:
228 divided by 61 is 3 with a remainder of 45.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
The remainder is 45 after subtracting 183 from 228.
Take the next digit (3) from the dividend and append it to 45, then repeat: 453 / 61

Advancing to step 4:
The number 61 fits into 453 7 times, leaving a remainder of 26.
The next digit of our result is 7. 
Result so far: 137.0
The remainder is 26 after subtracting 427 from 453.
Fetch the next digit (1) from the dividend, attach it to 26 and continue: 261 / 61

Moving on to step 5:
When dividing 261 by 61, we get 4 with a remainder of 17.
Put 4 as the next digit of the answer. 
Result so far: 1374.0
Subtract 244 from 261 to get 17.
Grab the next digit (2) from the dividend, add it to 17, then carry on: 172 / 61

Going ahead to step 6:
The number 61 fits into 172 2 times, leaving a remainder of 50.
The next digit of our result is 2. 
Result so far: 13742.0
If we subtract 122 from 172, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 7:
500 divided by 61 is 8 with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 13742.8
The remainder is 12 after subtracting 488 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 8:
120 divided by 61 is 1 with a remainder of 59.
Use 1 as the next digit of our solution. 
Result so far: 13742.81
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.

Going ahead to step 9:
If we divide 590 by 61, we get 9 and a remainder of 41.
Use 9 as the next digit of our solution. 
Result so far: 13742.819
If we subtract 549 from 590, we 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.

Advancing to step 10:
61 goes into 410 6 times with a remainder of 44.
Put 6 as the next digit of the answer. 
Result so far: 13742.8196
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.

Moving on to step 11:
When dividing 440 by 61, we get 7 with a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 13742.81967
If we take 427 away from 440, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 12:
61 can be fit into 130 2 times, resulting in a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 13742.819672
The remainder is 8 after subtracting 122 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 13:
The number 61 fits into 80 1 times, leaving a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 13742.8196721
If we take 61 away from 80, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 14:
The number 61 fits into 190 3 times, leaving a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 13742.81967213
Subtract 183 from 190 to 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.

The quotient of the division is 13742.81967213, and the remainder is 7e-09.