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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 811 · 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. 1.718849 ÷ 897 =
  2. 2.56736 ÷ 97 =
  3. 3.683755 ÷ 998 =
  4. 4.291886 ÷ 997 =
  5. 5.164811 ÷ 998 =
  6. 6.2248 ÷ 8 =
  7. 7.720154 ÷ 989 =
  8. 8.66630 ÷ 98 =
  9. 9.84253 ÷ 97 =
  10. 10.4534 ÷ 8 =
  11. 11.80957 ÷ 89 =
  12. 12.648424 ÷ 988 =
  13. 13.27473 ÷ 88 =
  14. 14.254548 ÷ 988 =
  15. 15.11330 ÷ 97 =
  16. 16.83578 ÷ 97 =
  17. 17.579567 ÷ 998 =
  18. 18.6967 ÷ 8 =
  19. 19.325223 ÷ 989 =
  20. 20.764112 ÷ 989 =
  21. 21.408421 ÷ 989 =
  22. 22.286087 ÷ 989 =
  23. 23.732 ÷ 8 =
  24. 24.42535 ÷ 96 =
  25. 25.83449 ÷ 989 =
  26. 26.239914 ÷ 998 =
  27. 27.737500 ÷ 988 =
  28. 28.5260 ÷ 8 =
  29. 29.445135 ÷ 998 =
  30. 30.7035 ÷ 96 =
  31. 31.14869 ÷ 98 =
  32. 32.9943 ÷ 88 =
  33. 33.24290 ÷ 88 =
  34. 34.10031 ÷ 88 =
  35. 35.800153 ÷ 998 =
  36. 36.941034 ÷ 997 =
  37. 37.7114 ÷ 8 =
  38. 38.185365 ÷ 989 =
  39. 39.77325 ÷ 98 =
  40. 40.86641 ÷ 88 =

Answer key

  1. 801 rem 352
  2. 584 rem 88
  3. 685 rem 125
  4. 292 rem 762
  5. 165 rem 141
  6. 281 rem 0
  7. 728 rem 162
  8. 679 rem 88
  9. 868 rem 57
  10. 566 rem 6
  11. 909 rem 56
  12. 656 rem 296
  13. 312 rem 17
  14. 257 rem 632
  15. 116 rem 78
  16. 861 rem 61
  17. 580 rem 727
  18. 870 rem 7
  19. 328 rem 831
  20. 772 rem 604
  21. 412 rem 953
  22. 289 rem 266
  23. 91 rem 4
  24. 443 rem 7
  25. 84 rem 373
  26. 240 rem 394
  27. 746 rem 452
  28. 657 rem 4
  29. 446 rem 27
  30. 73 rem 27
  31. 151 rem 71
  32. 112 rem 87
  33. 276 rem 2
  34. 113 rem 87
  35. 801 rem 755
  36. 943 rem 863
  37. 889 rem 2
  38. 187 rem 422
  39. 789 rem 3
  40. 984 rem 49

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