To find the quotient and the remainder when [tex]\(74,980,428\)[/tex] is divided by [tex]\(79\)[/tex], follow these steps:
1. Set up the division: [tex]\(74,980,428 \div 79\)[/tex].
2. Determine the Quotient:
- Begin by checking how many times [tex]\(79\)[/tex] goes into the first few digits of [tex]\(74,980,428\)[/tex].
- [tex]\(79\)[/tex] goes into [tex]\(749\)[/tex] a total of [tex]\(9\)[/tex] times because [tex]\(79 \times 9 = 711\)[/tex].
- Subtract [tex]\(711\)[/tex] from [tex]\(749\)[/tex]:
[tex]\[
749 - 711 = 38
\][/tex]
Now bring down the next digit, which is [tex]\(8\)[/tex], making it [tex]\(388\)[/tex].
- Next, see how many times [tex]\(79\)[/tex] goes into [tex]\(388\)[/tex].
- [tex]\(79\)[/tex] goes into [tex]\(388\)[/tex] a total of [tex]\(4\)[/tex] times because [tex]\(79 \times 4 = 316\)[/tex].
- Subtract [tex]\(316\)[/tex] from [tex]\(388\)[/tex]:
[tex]\[
388 - 316 = 72
\][/tex]
Bring down the next digit, which is [tex]\(0\)[/tex], making it [tex]\(720\)[/tex].
- [tex]\(79\)[/tex] goes into [tex]\(720\)[/tex] a total of [tex]\(9\)[/tex] times because [tex]\(79 \times 9 = 711\)[/tex].
- Subtract [tex]\(711\)[/tex] from [tex]\(720\)[/tex]:
[tex]\[
720 - 711 = 9
\][/tex]
Bring down the next digit, which is [tex]\(4\)[/tex], making it [tex]\(94\)[/tex].
- [tex]\(79\)[/tex] goes into [tex]\(94\)[/tex] a total of [tex]\(1\)[/tex] time because [tex]\(79 \times 1 = 79\)[/tex].
- Subtract [tex]\(79\)[/tex] from [tex]\(94\)[/tex]:
[tex]\[
94 - 79 = 15
\][/tex]
Bring down the next digit, which is [tex]\(2\)[/tex], making it [tex]\(152\)[/tex].
- [tex]\(79\)[/tex] goes into [tex]\(152\)[/tex] a total of [tex]\(1\)[/tex] time because [tex]\(79 \times 1 = 79\)[/tex].
- Subtract [tex]\(79\)[/tex] from [tex]\(152\)[/tex]:
[tex]\[
152 - 79 = 73
\][/tex]
Bring down the next digit, which is [tex]\(8\)[/tex], making it [tex]\(738\)[/tex].
- [tex]\(79\)[/tex] goes into [tex]\(738\)[/tex] a total of [tex]\(9\)[/tex] times because [tex]\(79 \times 9 = 711\)[/tex].
- Subtract [tex]\(711\)[/tex] from [tex]\(738\)[/tex]:
[tex]\[
738 - 711 = 27
\][/tex]
3. Summarize the results:
- The quotient of [tex]\(74980428 \div 79\)[/tex] is [tex]\(949119\)[/tex].
- The remainder is [tex]\(27\)[/tex].
Therefore, when [tex]\(74,980,428\)[/tex] is divided by [tex]\(79\)[/tex], the quotient is [tex]\(949,119\)[/tex] and the remainder is [tex]\(27\)[/tex].
