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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 84 · 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. 1.247692 ÷ 997 =
  2. 2.60540 ÷ 897 =
  3. 3.232440 ÷ 897 =
  4. 4.8231 ÷ 8 =
  5. 5.462555 ÷ 989 =
  6. 6.77204 ÷ 98 =
  7. 7.66403 ÷ 97 =
  8. 8.12617 ÷ 96 =
  9. 9.42648 ÷ 98 =
  10. 10.75930 ÷ 98 =
  11. 11.809717 ÷ 998 =
  12. 12.10970 ÷ 88 =
  13. 13.16848 ÷ 97 =
  14. 14.22819 ÷ 88 =
  15. 15.479417 ÷ 989 =
  16. 16.41373 ÷ 997 =
  17. 17.583360 ÷ 897 =
  18. 18.766711 ÷ 897 =
  19. 19.29184 ÷ 97 =
  20. 20.376080 ÷ 997 =
  21. 21.63326 ÷ 89 =
  22. 22.7327 ÷ 97 =
  23. 23.48981 ÷ 96 =
  24. 24.178116 ÷ 988 =
  25. 25.67903 ÷ 96 =
  26. 26.65520 ÷ 96 =
  27. 27.36131 ÷ 96 =
  28. 28.6612 ÷ 8 =
  29. 29.502253 ÷ 998 =
  30. 30.155099 ÷ 998 =
  31. 31.608963 ÷ 988 =
  32. 32.345631 ÷ 988 =
  33. 33.632983 ÷ 989 =
  34. 34.389610 ÷ 997 =
  35. 35.770566 ÷ 989 =
  36. 36.25111 ÷ 98 =
  37. 37.29060 ÷ 88 =
  38. 38.1534 ÷ 8 =
  39. 39.74408 ÷ 89 =
  40. 40.881706 ÷ 998 =

Answer key

  1. 248 rem 436
  2. 67 rem 441
  3. 259 rem 117
  4. 1028 rem 7
  5. 467 rem 692
  6. 787 rem 78
  7. 684 rem 55
  8. 131 rem 41
  9. 435 rem 18
  10. 774 rem 78
  11. 811 rem 339
  12. 124 rem 58
  13. 173 rem 67
  14. 259 rem 27
  15. 484 rem 741
  16. 41 rem 496
  17. 650 rem 310
  18. 854 rem 673
  19. 300 rem 84
  20. 377 rem 211
  21. 711 rem 47
  22. 75 rem 52
  23. 510 rem 21
  24. 180 rem 276
  25. 707 rem 31
  26. 682 rem 48
  27. 376 rem 35
  28. 826 rem 4
  29. 503 rem 259
  30. 155 rem 409
  31. 616 rem 355
  32. 349 rem 819
  33. 640 rem 23
  34. 390 rem 780
  35. 779 rem 135
  36. 256 rem 23
  37. 330 rem 20
  38. 191 rem 6
  39. 836 rem 4
  40. 883 rem 472

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