Use division using partial quotients:
987524 ÷ 246:
To reduce the numerator, multiplying the denominator by factors of 10, 5, 2, and 1
| | |
2 | 4 | 6 | 9 | 8 | 7 | 5 | 2 | 4 | | |
| | | 9 | 8 | 4 | 0 | 0 | 0 | | 4000 | | | | | | | <---- 4000 x 246 = 984000 |
| | | 3 | 5 | 2 | 4 | | | | | | | | | <---- 987524 - 984000 = 3524 |
| | |
2 | 4 | 6 | 9 | 8 | 7 | 5 | 2 | 4 | | |
| | | 9 | 8 | 4 | 0 | 0 | 0 | | 4000 | | | | | | | |
| | | | | 2 | 4 | | | | | | | | | |
| | | 2 | 4 | 6 | 0 | | 10 | | | | | | | <---- 10 x 246 = 2460 |
| | | 1 | 0 | 6 | 4 | | | | | | | | | <---- 3524 - 2460 = 1064 |
| | |
2 | 4 | 6 | 9 | 8 | 7 | 5 | 2 | 4 | | |
| | | 9 | 8 | 4 | 0 | 0 | 0 | | 4000 | | | | | | | |
| | | | | 2 | 4 | | | | | | | | | |
| | | 2 | 4 | 6 | 0 | | 10 | | | | | | | |
| | | 1 | 0 | 6 | 4 | | | | | | | | | |
| | | | 9 | 8 | 4 | | 4 | | | | | | | <---- 4 x 246 = 984 |
| | | | | 8 | 0 | | | | | | | | | <---- 1064 - 984 = 80 |
Our partial quotients add up as follows:
4000 + 10 + 4 = 4014
We still have 80 leftover, and no more numbers to bring down, so we have our remainder term:
Expressing our remainder as a fraction: Remainder/Denominator, we get:
Our fraction portion is not reduced down completely. Using our
GCF calculator, we see the Greatest Common Factor (GCF) of 80 and 246 is
2.
Dividing the numerator and denominator by the GCF, we get:
Numerator: = 40
Denominator: = 123
Answer in Fractional Remainder Form = 4014 & 40/123
987524 ÷ 246 = 4014 r 80 or 4014 & 40/123
Excel or Google Sheets formula:
Excel or Google Sheets formula:
=CONCATENATE(INT(987524/246)," r ",MOD(987524,246))Final Answer
Answer = 987524 ÷ 246 = 4014 r 80 or 4014 & 40/123
Common Core State Standards In This Lesson
K.OA.A.5, 1.NBT.C.4, 1.NBT.C.5, 2.NBT.B.5, 2.NBT.B.6, 2.NBT.B.7, 2.NBT.B.8, 2.NBT.B.9, 3.OA.A.2, 3.NBT.A.2, 3.NBT.A.3, 4.NBT.B.4, 4.NBT.B.5, 4.NBT.B.6, 5.NBT.B.5, 5.NBT.B.6, 5.NBT.B.7, 7.NS.A.2.D
What is the Answer?
4014 r 80 or 4014 & 40/123
How does the Basic Math Operations Calculator work?
Free Basic Math Operations Calculator - Given 2 numbers, this performs the following arithmetic operations:
* Addition (Adding) (+)
* Subtraction (Subtracting) (-)
* Multiplication (Multiplying) (x)
* Long division (Dividing) with a remainder (÷)
* Long division to decimal places (÷)
* Partial Sums (Shortcut Sums)
* Short Division
* Duplication and Mediation
This calculator has 2 inputs.
What 4 formulas are used for the Basic Math Operations Calculator?
What 10 concepts are covered in the Basic Math Operations Calculator?
- addition
- math operation involving the sum of elements
- basic math
- Elementary math subject to help students understand fundamentals, before moving on to more difficult subjects
- basic math operations
- long division
- a standard division algorithm suitable for dividing multi-digit numerals that is simple enough to perform by hand.
- multiplication
- math operation involving the product of elements
- operations
- partial
- A part of a whole. Incomplete.
- remainder
- The portion of a division operation leftover after dividing two integers
- subtraction
- math operation involving the difference of elements
- sum
- the total amount resulting from the addition of two or more numbers, amounts, or items