Enter 2 numbers for Basic Math Operations:
Use long division with remainders:
19654 ÷ 28:
| | 0 |
2 | 8 | 1 | 9 | 6 | 5 | 4 |
| | 0 | | | | | | | <---- 0 x 28 = 0 |
| | 1 | | | | | | | <---- 1 - 0 = 1 |
| | 0 | 0 |
2 | 8 | 1 | 9 | 6 | 5 | 4 |
| | 0 | | | | | | | |
| | 1 | 9 | | | | | | | <---- Bring down the 9 from the numerator |
| | | 0 | | | | | | | <---- 0 x 28 = 0 |
| | 1 | 9 | | | | | | | <---- 19 - 0 = 19 |
| | 0 | 0 | 7 |
2 | 8 | 1 | 9 | 6 | 5 | 4 |
| | 0 | | | | | | | |
| | 1 | 9 | | | | | | | |
| | | 0 | | | | | | | |
| | 1 | 9 | 6 | | | | | | | <---- Bring down the 6 from the numerator |
| | 1 | 9 | 6 | | | | | | | <---- 7 x 28 = 196 |
| | | | 0 | | | | | | | <---- 196 - 196 = 0 |
| | 0 | 0 | 7 | 0 |
2 | 8 | 1 | 9 | 6 | 5 | 4 |
| | 0 | | | | | | | |
| | 1 | 9 | | | | | | | |
| | | 0 | | | | | | | |
| | 1 | 9 | 6 | | | | | | | |
| | 1 | 9 | 6 | | | | | | | |
| | | | 0 | 5 | | | | | | | <---- Bring down the 5 from the numerator |
| | | | | 0 | | | | | | | <---- 0 x 28 = 0 |
| | | | | 5 | | | | | | | <---- 05 - 0 = 5 |
| | 0 | 0 | 7 | 0 | 1 |
2 | 8 | 1 | 9 | 6 | 5 | 4 |
| | 0 | | | | | | | |
| | 1 | 9 | | | | | | | |
| | | 0 | | | | | | | |
| | 1 | 9 | 6 | | | | | | | |
| | 1 | 9 | 6 | | | | | | | |
| | | | 0 | 5 | | | | | | | |
| | | | | 0 | | | | | | | |
| | | | | 5 | 4 | | | | | | | <---- Bring down the 4 from the numerator |
| | | | | 2 | 8 | | | | | | | <---- 1 x 28 = 28 |
| | | | | 2 | 6 | | | | | | | <---- 54 - 28 = 26 |
We still have 26 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 26 and 28 is
2.
Dividing the numerator and denominator by the GCF, we get:
Numerator: = 13
Denominator: = 14
Answer in Fractional Remainder Form = 701 & 13/14
19654 ÷ 28 = 701 r 26 or 701 & 13/14
Excel or Google Sheets formula:
Excel or Google Sheets formula:
=CONCATENATE(INT(19654/28)," r ",MOD(19654,28))Final Answer
Answer = 19654 ÷ 28 = 701 r 26 or 701 & 13/14
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
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