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Answer :
Let's solve the problem of dividing 15,624 by 126 step by step:
1. Identify the Dividend and Divisor:
- Here, the dividend is 15,624 and the divisor is 126.
2. Perform the Division:
- Start by checking how many times 126 can fit into the first few digits of the dividend. We start with 156.
- Step 1:
- See how many times 126 fits into 156. It fits 1 time because 1 × 126 = 126.
- Subtract 126 from 156 to get a remainder of 30.
- Step 2:
- Bring down the next digit from the dividend, 2, making the number 302.
- See how many times 126 fits into 302. It fits 2 times because 2 × 126 = 252.
- Subtract 252 from 302 to get a remainder of 50.
- Step 3:
- Bring down the next digit, 4, making the number 504.
- See how many times 126 fits into 504. It fits 4 times because 4 × 126 = 504.
- Subtract 504 from 504 to get a remainder of 0.
3. Determine the Quotient and Remainder:
- The quotient is formed by combining the numbers obtained from each of the steps where the divisor fits into the dividend sections: 1, 2, and 4. So, the quotient is 124.
- The remainder after the final subtraction is 0.
Thus, the division of 15,624 by 126 gives a quotient of 124 and a remainder of 0.
1. Identify the Dividend and Divisor:
- Here, the dividend is 15,624 and the divisor is 126.
2. Perform the Division:
- Start by checking how many times 126 can fit into the first few digits of the dividend. We start with 156.
- Step 1:
- See how many times 126 fits into 156. It fits 1 time because 1 × 126 = 126.
- Subtract 126 from 156 to get a remainder of 30.
- Step 2:
- Bring down the next digit from the dividend, 2, making the number 302.
- See how many times 126 fits into 302. It fits 2 times because 2 × 126 = 252.
- Subtract 252 from 302 to get a remainder of 50.
- Step 3:
- Bring down the next digit, 4, making the number 504.
- See how many times 126 fits into 504. It fits 4 times because 4 × 126 = 504.
- Subtract 504 from 504 to get a remainder of 0.
3. Determine the Quotient and Remainder:
- The quotient is formed by combining the numbers obtained from each of the steps where the divisor fits into the dividend sections: 1, 2, and 4. So, the quotient is 124.
- The remainder after the final subtraction is 0.
Thus, the division of 15,624 by 126 gives a quotient of 124 and a remainder of 0.
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