Let's divide 361961 by 87
We're looking to find how many times 87 goes into 361961.

Step 1:
When dividing 3 by 87, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Grab the next digit (6) from the dividend, add it to 3, then carry on: 36 / 87

Step 2:
The number 87 fits into 36 0 times, leaving a remainder of 36.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 36 leaves us with 36.
Take the next digit (1) from the dividend and append it to 36, then repeat: 361 / 87

On to step 3:
87 goes into 361 4 times with a remainder of 13.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we subtract 348 from 361, we get 13.
Grab the next digit (9) from the dividend, add it to 13, then carry on: 139 / 87

Going ahead to step 4:
The number 87 fits into 139 1 times, leaving a remainder of 52.
Record the quotient 1 as the next digit in the result. 
Result so far: 41.0
Subtracting 87 from 139 leaves us with 52.
Include the next digit (6) from the dividend after 52, then repeat: 526 / 87

Step 5:
When dividing 526 by 87, we get 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 416.0
If we take 522 away from 526, we end up with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 87

Moving on to step 6:
When dividing 41 by 87, we get 0 with a remainder of 41.
The next digit of our result is 0. 
Result so far: 4160.0
The remainder is 41 after subtracting 0 from 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Step 7:
If we divide 410 by 87, we get 4 and a remainder of 62.
Put 4 as the next digit of the answer. 
Result so far: 4160.4
Deduct 348 from 410 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

On to step 8:
When dividing 620 by 87, we get 7 with a remainder of 11.
The next digit of our result is 7. 
Result so far: 4160.47
Deduct 609 from 620 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 9:
The number 87 fits into 110 1 times, leaving a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 4160.471
If we subtract 87 from 110, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 10:
The number 87 fits into 230 2 times, leaving a remainder of 56.
The number 2 becomes the next digit in our result. 
Result so far: 4160.4712
Subtract 174 from 230 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 11:
560 divided by 87 is 6 with a remainder of 38.
Write down 6 as next digit of the result. 
Result so far: 4160.47126
If we subtract 522 from 560, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 12:
380 divided by 87 is 4 with a remainder of 32.
Write down 4 as next digit of the result. 
Result so far: 4160.471264
Subtract 348 from 380 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 13:
320 divided by 87 is 3 with a remainder of 59.
Put 3 as the next digit of the answer. 
Result so far: 4160.4712643
Subtract 261 from 320 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.

Moving on to step 14:
87 goes into 590 6 times with a remainder of 68.
Record the quotient 6 as the next digit in the result. 
Result so far: 4160.47126436
Subtracting 522 from 590 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

The quotient of the division is 4160.47126436, and the remainder is 6.8e-08.