Answer :
To solve the division problem [tex]\( 925 \longdiv { 186,850 } \)[/tex] and find the quotient and remainder, follow these steps:
1. Setup the division:
Place 186,850 under the long division symbol and 925 outside of it.
2. Determine how many times 925 fits into the initial digits of 186,850:
Start by evaluating how many times 925 can fit into the digits 1868 (since 925 cannot fit into 186 or 18).
3. Calculate the first part of the quotient:
- 925 can fit into 1868 exactly twice without exceeding it (since [tex]\( 2 \times 925 = 1850 \)[/tex]).
- Place 2 above the long division bar.
4. Multiply and subtract:
- Multiply 2 by 925 to get 1850.
- Subtract 1850 from 1868 to get 18, leaving 18 as the remainder which we carry forward.
5. Bring down the next digit:
- Pull down the 5 from the next digit in 186,850, giving us 185.
- Since 925 cannot fit into 185, we add a 0 to the quotient.
- Bring down the next digit from the dividend, giving us 1850.
6. Repeat the process:
- Now determine how many times 925 fits into 1850.
- Again, 925 can fit into 1850 exactly twice.
- Place another 2 in the quotient.
7. Multiply and subtract again:
- Multiply 2 by 925 to get 1850.
- Subtract 1850 from 1850, resulting in 0.
8. Finish the division:
- All digits from 186,850 have been processed.
- No remainder is left.
Combining these results, we have determined:
- The quotient of dividing 186,850 by 925 is 202.
- The remainder when 186,850 is divided by 925 is 0.
Thus, the final answer is:
- Quotient: 202
- Remainder: 0
1. Setup the division:
Place 186,850 under the long division symbol and 925 outside of it.
2. Determine how many times 925 fits into the initial digits of 186,850:
Start by evaluating how many times 925 can fit into the digits 1868 (since 925 cannot fit into 186 or 18).
3. Calculate the first part of the quotient:
- 925 can fit into 1868 exactly twice without exceeding it (since [tex]\( 2 \times 925 = 1850 \)[/tex]).
- Place 2 above the long division bar.
4. Multiply and subtract:
- Multiply 2 by 925 to get 1850.
- Subtract 1850 from 1868 to get 18, leaving 18 as the remainder which we carry forward.
5. Bring down the next digit:
- Pull down the 5 from the next digit in 186,850, giving us 185.
- Since 925 cannot fit into 185, we add a 0 to the quotient.
- Bring down the next digit from the dividend, giving us 1850.
6. Repeat the process:
- Now determine how many times 925 fits into 1850.
- Again, 925 can fit into 1850 exactly twice.
- Place another 2 in the quotient.
7. Multiply and subtract again:
- Multiply 2 by 925 to get 1850.
- Subtract 1850 from 1850, resulting in 0.
8. Finish the division:
- All digits from 186,850 have been processed.
- No remainder is left.
Combining these results, we have determined:
- The quotient of dividing 186,850 by 925 is 202.
- The remainder when 186,850 is divided by 925 is 0.
Thus, the final answer is:
- Quotient: 202
- Remainder: 0
