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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 343 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.3083 ÷ 97 =
  2. 2.285828 ÷ 998 =
  3. 3.65097 ÷ 97 =
  4. 4.39983 ÷ 96 =
  5. 5.24941 ÷ 98 =
  6. 6.23330 ÷ 98 =
  7. 7.30290 ÷ 897 =
  8. 8.865989 ÷ 988 =
  9. 9.20763 ÷ 88 =
  10. 10.15275 ÷ 98 =
  11. 11.89604 ÷ 97 =
  12. 12.3439 ÷ 88 =
  13. 13.92384 ÷ 88 =
  14. 14.746861 ÷ 988 =
  15. 15.26321 ÷ 98 =
  16. 16.94833 ÷ 96 =
  17. 17.7417 ÷ 8 =
  18. 18.129738 ÷ 998 =
  19. 19.81059 ÷ 98 =
  20. 20.3347 ÷ 96 =
  21. 21.41258 ÷ 97 =
  22. 22.29533 ÷ 97 =
  23. 23.279147 ÷ 989 =
  24. 24.106508 ÷ 998 =
  25. 25.9977 ÷ 8 =
  26. 26.249686 ÷ 997 =
  27. 27.60425 ÷ 97 =
  28. 28.730868 ÷ 997 =
  29. 29.80895 ÷ 989 =
  30. 30.71762 ÷ 97 =
  31. 31.80993 ÷ 88 =
  32. 32.915920 ÷ 997 =
  33. 33.73429 ÷ 88 =
  34. 34.631424 ÷ 989 =
  35. 35.36228 ÷ 88 =
  36. 36.56871 ÷ 98 =
  37. 37.382573 ÷ 897 =
  38. 38.142945 ÷ 997 =
  39. 39.232488 ÷ 988 =
  40. 40.2961 ÷ 88 =

Answer key

  1. 31 rem 76
  2. 286 rem 400
  3. 671 rem 10
  4. 416 rem 47
  5. 254 rem 49
  6. 238 rem 6
  7. 33 rem 689
  8. 876 rem 501
  9. 235 rem 83
  10. 155 rem 85
  11. 923 rem 73
  12. 39 rem 7
  13. 1049 rem 72
  14. 755 rem 921
  15. 268 rem 57
  16. 987 rem 81
  17. 927 rem 1
  18. 129 rem 996
  19. 827 rem 13
  20. 34 rem 83
  21. 425 rem 33
  22. 304 rem 45
  23. 282 rem 249
  24. 106 rem 720
  25. 1247 rem 1
  26. 250 rem 436
  27. 622 rem 91
  28. 733 rem 67
  29. 81 rem 786
  30. 739 rem 79
  31. 920 rem 33
  32. 918 rem 674
  33. 834 rem 37
  34. 638 rem 442
  35. 411 rem 60
  36. 580 rem 31
  37. 426 rem 451
  38. 143 rem 374
  39. 235 rem 308
  40. 33 rem 57

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