Question
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Use long division to divide the following
calculator:
*a )
*b)
©
d)

Ask by Rodriguez Ramirez. in South Africa
Jan 23,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

a)
b) with a remainder of 61
c)
d) with a remainder of 96

Solution

Sure! Let’s perform each division using the long division method step-by-step.

a)

Step 1: Set up the long division.
      ____
60 ) 8700
Step 2: Determine how many times 60 fits into the first part of 8700.
  • 60 fits into 87 once (since ).
        1
      ____
60 ) 8700
      60
      ---
      270
Step 3: Bring down the next digit (0) to make it 270.
  • 60 fits into 270 four times (since ).
        14
      ____
60 ) 8700
      60
      ---
      270
      240
      ---
       30
Step 4: Bring down the final digit (0) to make it 300.
  • 60 fits into 300 five times (since ).
        145
      ____
60 ) 8700
      60
      ---
      270
      240
      ---
       300
       300
       ---
         0
Final Answer:

b)

Step 1: Set up the long division.
          ______
71 ) 34719
Step 2: Determine how many times 71 fits into 347.
  • (too big)
So, 4 times.
           4
          ______
71 ) 34719
      284
      ----
       630
Step 3: Bring down the next digit (1) to make it 631.
  • (too big)
So, 8 times.
           48
          ______
71 ) 34719
      284
      ----
       630
       568
       ----
        62
Step 4: Bring down the next digit (9) to make it 629.
  • (too big)
So, 8 times.
           488
          ______
71 ) 34719
      284
      ----
       630
       568
       ----
        629
        568
        ----
         61
Final Answer:
with a remainder of 61.
Alternatively, as a mixed number:

c)

Step 1: Set up the long division.
          _________
160 ) 208640
Step 2: Determine how many times 160 fits into 2086.
So, 13 times.
           130
          _________
160 ) 208640
      2080
      -------
         64
Step 3: Bring down the next digit (4) to make it 64.
Since 64 is less than 160, append a 0 to the quotient and bring down the next digit.
           1304
          _________
160 ) 208640
      2080
      -------
         64 4
Step 4: 160 fits into 640 exactly 4 times (since ).
           1304
          _________
160 ) 208640
      2080
      -------
         640
         640
         ----
           0
Final Answer:

d)

Step 1: Set up the long division.
           ________
156 ) 102024
Step 2: Determine how many times 156 fits into 1020.
  • (too big)
So, 6 times.
            6
           ________
156 ) 102024
       936
       ----
        660
Step 3: Bring down the next digit (2) to make it 6602.
  • Wait: Actually, after subtracting 936 from 1020, we have 84, then bring down the next digit (0), making it 840.
Correcting Step 2:
After subtracting 936 from 1020:
            6
           ________
156 ) 102024
       936
       ----
        840
Step 3: Determine how many times 156 fits into 840.
  • (too big)
So, 5 times.
            65
           ________
156 ) 102024
       936
       ----
        840
        780
        ----
         60
Step 4: Bring down the next digit (2) to make it 602.
  • (too big)
So, 3 times.
            653
           ________
156 ) 102024
       936
       ----
        840
        780
        ----
         602
         468
         ----
         134
Step 5: Bring down the next digit (4) to make it 1344.
  • (too big)
So, 8 times.
            6538
           ________
156 ) 102024
       936
       ----
        840
        780
        ----
         602
         468
         ----
         1344
         1248
         ----
          96
Final Answer:
with a remainder of 96.
Alternatively, as a mixed number:

Summary of Results:
a)
b) with a remainder of 61
c)
d) with a remainder of 96

Reviewed and approved by the UpStudy tutoring team

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Explain
Simplify this solution

The Deep Dive

Sure! Let’s break down those long division problems in an easy-to-understand way.
When you perform , you start by simplifying first. 60 goes into 8700 like this: 8700 ÷ 60 = 145. You can check your result quickly by multiplying back (145 x 60 = 8700).
Now, for , you find that 71 fits into 34719 about 489 times. If you multiply it back (489 x 71 = 34719), it confirms you’ve done it correctly.
Next up, equals 1304. Again, multiplying back (1304 x 160 = 208640) gives you confidence in your result.
And finally, dividing gives you 654. A quick multiplication check (654 x 156 = 102024) tells you it’s spot on.
Remember to check your answers by multiplying; it’s like double-checking your math homework!

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