To convert 345 to a decimal using long division, follow these steps:
1) Write 345 as the dividend and 1 as the divisor.
_________
1 | 345
2) Start the long division process by dividing the first digit of the dividend (3) by the divisor (1). Write the quotient (3) on top of the line above the dividend.
3
_________
1 | 345
3) Multiply the quotient (3) by the divisor (1) and write the result (3) below the dividend.
3
_________
1 | 345
3
4) Subtract the result (3) from the first digit of the dividend (3) to get the remainder (0). Write the remainder (0) next to the result.
3
_________
1 | 345
3
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5) Bring down the next digit of the dividend (4) and write it next to the remainder (0).
3
_________
1 | 345
30
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6) Divide the new number (30) by the divisor (1) and write the quotient (30) below the line.
3
_________
1 | 345
30
-----
30
7) Multiply the new quotient (30) by the divisor (1) and write the result (30) below the number you just brought down.
3
_________
1 | 345
30
-----
30
8) Subtract the result (30) from the number you just brought down (30) to get the remainder (0). Write the remainder (0) next to the result.
3
_________
1 | 345
30
-----
30
----
9) Bring down the next digit of the dividend (5) and write it next to the remainder (0).
3
_________
1 | 345
30
-----
30
----
5
10) Divide the new number (5) by the divisor (1) and write the quotient (5) below the line.
3
_________
1 | 345
30
-----
30
----
5
11) Multiply the new quotient (5) by the divisor (1) and write the result (5) below the number you just brought down.
3
_________
1 | 345
30
-----
30
----
5
5
12) Subtract the result (5) from the number you just brought down (5) to get the remainder (0). Write the remainder (0) next to the result.
3
_________
1 | 345
30
-----
30
----
5
5
----
13) Since the remainder is 0 and there are no more digits to bring down, the process is complete.
The decimal representation of 345 is 345.0.
Use long division to convert 345 to a decimal
3 answers
Use long division to convert 3 45 to a decimal
To convert 3 45 to a decimal using long division, follow these steps:
1) Write 345 as the dividend and 100 as the divisor, since we want to convert the whole number part (3) to decimal by dividing it by 100.
_________
100 | 345
2) Start the long division process by dividing the first digit of the dividend (3) by the divisor (100). Write the quotient (0) on top of the line above the dividend.
0
_________
100 | 345
3) Multiply the quotient (0) by the divisor (100) and write the result (0) below the dividend.
0
_________
100 | 345
0
4) Subtract the result (0) from the first digit of the dividend (3) to get the remainder (3). Write the remainder (3) next to the result.
0
_________
100 | 345
0
-----
5) Bring down the next digit of the dividend (4) and write it next to the remainder (3).
0
_________
100 | 345
03
6) Divide the new number (34) by the divisor (100) and write the quotient (0) below the line.
0
_________
100 | 345
03
-----
7) Multiply the new quotient (0) by the divisor (100) and write the result (0) below the number you just brought down.
0
_________
100 | 345
03
-----
0
8) Subtract the result (0) from the number you just brought down (0) to get the remainder (0). Write the remainder (0) next to the result.
0
_________
100 | 345
03
-----
0
---
9) Since the remainder is 0 and there are no more digits to bring down, the process is complete.
The decimal representation of 3 45 is 3.45.
1) Write 345 as the dividend and 100 as the divisor, since we want to convert the whole number part (3) to decimal by dividing it by 100.
_________
100 | 345
2) Start the long division process by dividing the first digit of the dividend (3) by the divisor (100). Write the quotient (0) on top of the line above the dividend.
0
_________
100 | 345
3) Multiply the quotient (0) by the divisor (100) and write the result (0) below the dividend.
0
_________
100 | 345
0
4) Subtract the result (0) from the first digit of the dividend (3) to get the remainder (3). Write the remainder (3) next to the result.
0
_________
100 | 345
0
-----
5) Bring down the next digit of the dividend (4) and write it next to the remainder (3).
0
_________
100 | 345
03
6) Divide the new number (34) by the divisor (100) and write the quotient (0) below the line.
0
_________
100 | 345
03
-----
7) Multiply the new quotient (0) by the divisor (100) and write the result (0) below the number you just brought down.
0
_________
100 | 345
03
-----
0
8) Subtract the result (0) from the number you just brought down (0) to get the remainder (0). Write the remainder (0) next to the result.
0
_________
100 | 345
03
-----
0
---
9) Since the remainder is 0 and there are no more digits to bring down, the process is complete.
The decimal representation of 3 45 is 3.45.
1 answer