Question
Use long division to divide the following
calculator:
*a )
*b)
©
d)
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
b)
c)
d)
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
b)
c)
d)
Reviewed and approved by the UpStudy tutoring team
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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!