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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 371 · 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. 1.194576 ÷ 998 =
  2. 2.6674 ÷ 8 =
  3. 3.271404 ÷ 897 =
  4. 4.49003 ÷ 89 =
  5. 5.16739 ÷ 88 =
  6. 6.840298 ÷ 998 =
  7. 7.35063 ÷ 98 =
  8. 8.614159 ÷ 998 =
  9. 9.536551 ÷ 989 =
  10. 10.96498 ÷ 96 =
  11. 11.51887 ÷ 89 =
  12. 12.265997 ÷ 988 =
  13. 13.67157 ÷ 98 =
  14. 14.85653 ÷ 97 =
  15. 15.493005 ÷ 998 =
  16. 16.856256 ÷ 897 =
  17. 17.42278 ÷ 89 =
  18. 18.2460 ÷ 8 =
  19. 19.317473 ÷ 997 =
  20. 20.235462 ÷ 897 =
  21. 21.46309 ÷ 98 =
  22. 22.79200 ÷ 88 =
  23. 23.68753 ÷ 98 =
  24. 24.1230 ÷ 8 =
  25. 25.512819 ÷ 988 =
  26. 26.578520 ÷ 989 =
  27. 27.556264 ÷ 989 =
  28. 28.64850 ÷ 98 =
  29. 29.277792 ÷ 989 =
  30. 30.526165 ÷ 988 =
  31. 31.5734 ÷ 8 =
  32. 32.23238 ÷ 97 =
  33. 33.567020 ÷ 989 =
  34. 34.55137 ÷ 89 =
  35. 35.38397 ÷ 98 =
  36. 36.859119 ÷ 997 =
  37. 37.25394 ÷ 96 =
  38. 38.80286 ÷ 98 =
  39. 39.3154 ÷ 8 =
  40. 40.500398 ÷ 997 =

Answer key

  1. 194 rem 964
  2. 834 rem 2
  3. 302 rem 510
  4. 550 rem 53
  5. 190 rem 19
  6. 841 rem 980
  7. 357 rem 77
  8. 615 rem 389
  9. 542 rem 513
  10. 1005 rem 18
  11. 583 rem 0
  12. 269 rem 225
  13. 685 rem 27
  14. 883 rem 2
  15. 493 rem 991
  16. 954 rem 518
  17. 475 rem 3
  18. 307 rem 4
  19. 318 rem 427
  20. 262 rem 448
  21. 472 rem 53
  22. 900 rem 0
  23. 701 rem 55
  24. 153 rem 6
  25. 519 rem 47
  26. 584 rem 944
  27. 562 rem 446
  28. 661 rem 72
  29. 280 rem 872
  30. 532 rem 549
  31. 716 rem 6
  32. 239 rem 55
  33. 573 rem 323
  34. 619 rem 46
  35. 391 rem 79
  36. 861 rem 702
  37. 264 rem 50
  38. 819 rem 24
  39. 394 rem 2
  40. 501 rem 901

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