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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 684 · 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. 1.395258 ÷ 998 =
  2. 2.2781 ÷ 8 =
  3. 3.14429 ÷ 96 =
  4. 4.334288 ÷ 988 =
  5. 5.25403 ÷ 98 =
  6. 6.110506 ÷ 989 =
  7. 7.32485 ÷ 97 =
  8. 8.73682 ÷ 96 =
  9. 9.7188 ÷ 8 =
  10. 10.37504 ÷ 98 =
  11. 11.63125 ÷ 96 =
  12. 12.791840 ÷ 998 =
  13. 13.33731 ÷ 96 =
  14. 14.299989 ÷ 989 =
  15. 15.3647 ÷ 8 =
  16. 16.475976 ÷ 989 =
  17. 17.178786 ÷ 988 =
  18. 18.26750 ÷ 98 =
  19. 19.376694 ÷ 988 =
  20. 20.540583 ÷ 989 =
  21. 21.44835 ÷ 88 =
  22. 22.653663 ÷ 989 =
  23. 23.270529 ÷ 989 =
  24. 24.19121 ÷ 88 =
  25. 25.76499 ÷ 98 =
  26. 26.663610 ÷ 998 =
  27. 27.13263 ÷ 988 =
  28. 28.81966 ÷ 98 =
  29. 29.226336 ÷ 988 =
  30. 30.719292 ÷ 988 =
  31. 31.574321 ÷ 988 =
  32. 32.557741 ÷ 997 =
  33. 33.7514 ÷ 8 =
  34. 34.173389 ÷ 989 =
  35. 35.536731 ÷ 998 =
  36. 36.84257 ÷ 97 =
  37. 37.223485 ÷ 997 =
  38. 38.2677 ÷ 97 =
  39. 39.6062 ÷ 8 =
  40. 40.885167 ÷ 997 =

Answer key

  1. 396 rem 50
  2. 347 rem 5
  3. 150 rem 29
  4. 338 rem 344
  5. 259 rem 21
  6. 111 rem 727
  7. 334 rem 87
  8. 767 rem 50
  9. 898 rem 4
  10. 382 rem 68
  11. 657 rem 53
  12. 793 rem 426
  13. 351 rem 35
  14. 303 rem 322
  15. 455 rem 7
  16. 481 rem 267
  17. 180 rem 946
  18. 272 rem 94
  19. 381 rem 266
  20. 546 rem 589
  21. 509 rem 43
  22. 660 rem 923
  23. 273 rem 532
  24. 217 rem 25
  25. 780 rem 59
  26. 664 rem 938
  27. 13 rem 419
  28. 836 rem 38
  29. 229 rem 84
  30. 728 rem 28
  31. 581 rem 293
  32. 559 rem 418
  33. 939 rem 2
  34. 175 rem 314
  35. 537 rem 805
  36. 868 rem 61
  37. 224 rem 157
  38. 27 rem 58
  39. 757 rem 6
  40. 887 rem 828

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