Question

use the partial quotients method to find 1,781 ÷ 52. fill in the missing numbers.
52)1 7 8 1

• 5 2 0 ← × 52
• 5 2 0 ← × 52
• 5 2 0 ← × 52
• 2 0 8 ← × 52

Explanation:

Step1: First partial - quotient

We know that \(52\times10 = 520\). We subtract \(520\) from \(1781\) three times. \(1781-520 = 1261\), \(1261 - 520=741\), \(741-520 = 221\). So the first three partial - quotients are \(10\).

Step2: Fourth partial - quotient

We note that \(52\times4=208\). And \(221-208 = 13\).

Step3: Calculate the quotient

The sum of the partial - quotients is \(10 + 10+10 + 4=34\).

Answer:

The quotient is \(34\) and the remainder is \(13\). So the blanks from top - to - bottom, left - to - right are: \(34\), \(13\), \(10\), \(1261\), \(10\), \(741\), \(10\), \(221\), \(4\), \(13\)