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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 359 · 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. 1.89722 ÷ 88 =
  2. 2.67585 ÷ 88 =
  3. 3.76550 ÷ 96 =
  4. 4.47227 ÷ 988 =
  5. 5.1952 ÷ 97 =
  6. 6.99965 ÷ 88 =
  7. 7.814805 ÷ 897 =
  8. 8.56197 ÷ 89 =
  9. 9.436551 ÷ 897 =
  10. 10.6843 ÷ 8 =
  11. 11.255940 ÷ 998 =
  12. 12.11447 ÷ 997 =
  13. 13.334916 ÷ 989 =
  14. 14.17746 ÷ 997 =
  15. 15.53122 ÷ 97 =
  16. 16.65519 ÷ 96 =
  17. 17.97105 ÷ 97 =
  18. 18.4167 ÷ 96 =
  19. 19.952380 ÷ 988 =
  20. 20.160860 ÷ 897 =
  21. 21.5765 ÷ 97 =
  22. 22.12305 ÷ 88 =
  23. 23.25562 ÷ 89 =
  24. 24.103351 ÷ 998 =
  25. 25.15399 ÷ 97 =
  26. 26.9925 ÷ 98 =
  27. 27.362476 ÷ 989 =
  28. 28.107456 ÷ 998 =
  29. 29.577609 ÷ 989 =
  30. 30.54702 ÷ 98 =
  31. 31.763046 ÷ 989 =
  32. 32.333891 ÷ 997 =
  33. 33.1435 ÷ 8 =
  34. 34.10558 ÷ 88 =
  35. 35.82230 ÷ 97 =
  36. 36.19619 ÷ 897 =
  37. 37.60154 ÷ 89 =
  38. 38.54403 ÷ 88 =
  39. 39.52817 ÷ 97 =
  40. 40.724226 ÷ 897 =

Answer key

  1. 1019 rem 50
  2. 768 rem 1
  3. 797 rem 38
  4. 47 rem 791
  5. 20 rem 12
  6. 1135 rem 85
  7. 908 rem 329
  8. 631 rem 38
  9. 486 rem 609
  10. 855 rem 3
  11. 256 rem 452
  12. 11 rem 480
  13. 338 rem 634
  14. 17 rem 797
  15. 547 rem 63
  16. 682 rem 47
  17. 1001 rem 8
  18. 43 rem 39
  19. 963 rem 936
  20. 179 rem 297
  21. 59 rem 42
  22. 139 rem 73
  23. 287 rem 19
  24. 103 rem 557
  25. 158 rem 73
  26. 101 rem 27
  27. 366 rem 502
  28. 107 rem 670
  29. 584 rem 33
  30. 558 rem 18
  31. 771 rem 527
  32. 334 rem 893
  33. 179 rem 3
  34. 119 rem 86
  35. 847 rem 71
  36. 21 rem 782
  37. 675 rem 79
  38. 618 rem 19
  39. 544 rem 49
  40. 807 rem 347

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