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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 395 · 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. 1.65924 ÷ 96 =
  2. 2.41999 ÷ 98 =
  3. 3.47007 ÷ 97 =
  4. 4.560116 ÷ 989 =
  5. 5.80833 ÷ 97 =
  6. 6.68795 ÷ 98 =
  7. 7.89375 ÷ 88 =
  8. 8.97982 ÷ 88 =
  9. 9.55182 ÷ 96 =
  10. 10.58108 ÷ 89 =
  11. 11.818546 ÷ 997 =
  12. 12.16211 ÷ 96 =
  13. 13.5038 ÷ 98 =
  14. 14.496530 ÷ 988 =
  15. 15.22258 ÷ 89 =
  16. 16.84882 ÷ 89 =
  17. 17.59846 ÷ 88 =
  18. 18.869339 ÷ 988 =
  19. 19.297551 ÷ 989 =
  20. 20.893602 ÷ 897 =
  21. 21.79352 ÷ 89 =
  22. 22.30796 ÷ 97 =
  23. 23.51364 ÷ 98 =
  24. 24.3935 ÷ 97 =
  25. 25.80289 ÷ 89 =
  26. 26.18895 ÷ 97 =
  27. 27.72544 ÷ 96 =
  28. 28.2798 ÷ 8 =
  29. 29.682403 ÷ 897 =
  30. 30.45031 ÷ 998 =
  31. 31.674282 ÷ 997 =
  32. 32.25363 ÷ 96 =
  33. 33.648165 ÷ 997 =
  34. 34.79617 ÷ 997 =
  35. 35.29747 ÷ 96 =
  36. 36.99394 ÷ 88 =
  37. 37.80107 ÷ 98 =
  38. 38.619289 ÷ 988 =
  39. 39.16028 ÷ 97 =
  40. 40.388898 ÷ 989 =

Answer key

  1. 686 rem 68
  2. 428 rem 55
  3. 484 rem 59
  4. 566 rem 342
  5. 833 rem 32
  6. 701 rem 97
  7. 1015 rem 55
  8. 1113 rem 38
  9. 574 rem 78
  10. 652 rem 80
  11. 821 rem 9
  12. 168 rem 83
  13. 51 rem 40
  14. 502 rem 554
  15. 250 rem 8
  16. 953 rem 65
  17. 680 rem 6
  18. 879 rem 887
  19. 300 rem 851
  20. 996 rem 190
  21. 891 rem 53
  22. 317 rem 47
  23. 524 rem 12
  24. 40 rem 55
  25. 902 rem 11
  26. 194 rem 77
  27. 755 rem 64
  28. 349 rem 6
  29. 760 rem 683
  30. 45 rem 121
  31. 676 rem 310
  32. 264 rem 19
  33. 650 rem 115
  34. 79 rem 854
  35. 309 rem 83
  36. 1129 rem 42
  37. 817 rem 41
  38. 626 rem 801
  39. 165 rem 23
  40. 393 rem 221

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