Use long division to convert 5316 to a decimal
To convert 5316 to a decimal using long division, we divide 5316 by 1,000 since there are three decimal places in 5316.
5.316
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1,000 | 5,316
Now, start dividing:
- We divide 1 into 5, which gives us 5.
- We then bring down the next digit, which is 3.
- We divide 1 into 33, which gives us 33.
- We then bring down the next digit, which is 1.
- We divide 1 into 316, which gives us 316.
- We then bring down the next digit, which is 6.
- We divide 1 into 3166, which gives us 3166.
- We then bring down the next digit, which is 0.
- We divide 1 into 31660, which gives us 31660.
Therefore, we get 5.316 as the decimal equivalent of 5316.
To convert 5316 to a decimal using long division, follow these steps:
1. Start by placing the dividend (5316) inside the division symbol (÷).
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| 5316
2. Divide the leftmost digit of the dividend (5) by the divisor (1) and write the quotient (5) above the dividend.
_______
1 | 5316
5
3. Multiply the divisor (1) by the quotient (5) and subtract the result (5) from the dividend (5316) to obtain the remainder (5311).
_______
1 | 5316
5
_______
5311
4. Bring down the next digit (3) from the dividend and place it next to the remainder (5311) to form a new number (53113).
5. Divide the new number (53113) by the divisor (1) and write the new quotient (53113) above the dividend.
_______
1 | 5316
5
_______
5311
5311
6. Multiply the divisor (1) by the quotient (53113) and subtract the result (53113) from the new number (53113) to obtain the remainder (0).
7. Since the remainder is zero, the division is complete. The resulting decimal is obtained by adding a decimal point just after the quotient (5) and affixing a zero at the end if necessary. So, 5316 as a decimal is 5316.0 or simply 5316.
Therefore, 5316 as a decimal is 5316.
To convert 5316 to a decimal using long division, follow these steps:
1. Write down the number 5316 as the dividend inside the long division symbol (÷).
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5316|
2. Choose a whole number divisor to divide into the dividend. In this case, let's choose 100.
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5316|100
3. Divide the first digit of the dividend (5) by the divisor (100). Write the quotient above the long division symbol.
____
5316|100
53
4. Multiply the quotient (53) by the divisor (100) and subtract the result from the 4-digit number below it.
____
5316|100
-5300
---
16
5. Bring down the next digit from the dividend (1) and append it to the remainder (16) as the new number.
____
5316|100
-5300
---
16
1
6. Place a decimal point above the long division symbol and bring down a zero after the 1 to continue the division process.
____
5316|100.
-5300
---
16
10
7. Divide the new number (101) by the divisor (100) and write the quotient above the long division symbol.
____
5316|100.
-5300
---
16
10
10
8. Multiply the quotient (101) by the divisor (100) and subtract the result from the 2-digit number below it.
____
5316|100.
-5300
---
16
10
10
-10
---
6
9. Since the remainder (6) is less than the divisor (100), the division process stops at this point.
10. The final result is the quotient (53) followed by the decimal point and the remainder obtained (6). Therefore, 5316 as a decimal is 53.06.
So, 5316 as a decimal using long division is 53.06.