Sure, let's go through the step-by-step process of dividing 879,654 by 362.
1. First Division:
- Look at the first three digits of the dividend, 879.
- 879 divided by 362 is 2 times (since [tex]\( 362 \times 2 = 724 \)[/tex]).
- Place 2 above the 9 in the dividend.
Perform the multiplication and subtraction:
[tex]\[
879 - 724 = 155
\][/tex]
2. Bring Down the Next Digit:
- Bring down the next digit, which is 6, making it 1565.
3. Second Division:
- 1565 divided by 362 is 4 times (as [tex]\( 362 \times 4 = 1448 \)[/tex]).
- Place 4 above the 6 in the dividend.
Perform the multiplication and subtraction:
[tex]\[
1565 - 1448 = 117
\][/tex]
4. Bring Down the Next Digit:
- Bring down the next digit, which is 5, making it 1175.
5. Third Division:
- 1175 divided by 362 is 3 times (since [tex]\( 362 \times 3 = 1086 \)[/tex]).
- Place 3 above the 5 in the dividend.
Perform the multiplication and subtraction:
[tex]\[
1175 - 1086 = 89
\][/tex]
6. Bring Down the Last Digit:
- Bring down the last digit, which is 4, making it 894.
7. Fourth Division:
- 894 divided by 362 is 2 times (as [tex]\( 362 \times 2 = 724 \)[/tex]).
- Place 2 above the 4 in the dividend.
Perform the multiplication and subtraction:
[tex]\[
894 - 724 = 170
\][/tex]
At this point, there are no more digits to bring down. The quotient is the number you have placed above the dividend (2429) and the remainder is the last result of your subtraction (170).
So, the final answer is:
- Quotient: 2429
- Remainder: 170
