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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 24 · 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. 1.21028 ÷ 998 =
  2. 2.8470 ÷ 8 =
  3. 3.2729 ÷ 8 =
  4. 4.941359 ÷ 998 =
  5. 5.4966 ÷ 97 =
  6. 6.95967 ÷ 97 =
  7. 7.60876 ÷ 97 =
  8. 8.6690 ÷ 96 =
  9. 9.68030 ÷ 97 =
  10. 10.82210 ÷ 97 =
  11. 11.420347 ÷ 998 =
  12. 12.61700 ÷ 96 =
  13. 13.662847 ÷ 989 =
  14. 14.73832 ÷ 88 =
  15. 15.196186 ÷ 998 =
  16. 16.865430 ÷ 897 =
  17. 17.4458 ÷ 8 =
  18. 18.55871 ÷ 997 =
  19. 19.82947 ÷ 98 =
  20. 20.97371 ÷ 88 =
  21. 21.36782 ÷ 988 =
  22. 22.56013 ÷ 96 =
  23. 23.52225 ÷ 88 =
  24. 24.332772 ÷ 897 =
  25. 25.466087 ÷ 897 =
  26. 26.16402 ÷ 96 =
  27. 27.980569 ÷ 998 =
  28. 28.4708 ÷ 8 =
  29. 29.92137 ÷ 88 =
  30. 30.86471 ÷ 89 =
  31. 31.69149 ÷ 98 =
  32. 32.268992 ÷ 998 =
  33. 33.27171 ÷ 89 =
  34. 34.45283 ÷ 98 =
  35. 35.440457 ÷ 897 =
  36. 36.57412 ÷ 98 =
  37. 37.684007 ÷ 897 =
  38. 38.19104 ÷ 88 =
  39. 39.522290 ÷ 897 =
  40. 40.48174 ÷ 88 =

Answer key

  1. 21 rem 70
  2. 1058 rem 6
  3. 341 rem 1
  4. 943 rem 245
  5. 51 rem 19
  6. 989 rem 34
  7. 627 rem 57
  8. 69 rem 66
  9. 701 rem 33
  10. 847 rem 51
  11. 421 rem 189
  12. 642 rem 68
  13. 670 rem 217
  14. 839 rem 0
  15. 196 rem 578
  16. 964 rem 722
  17. 557 rem 2
  18. 56 rem 39
  19. 846 rem 39
  20. 1106 rem 43
  21. 37 rem 226
  22. 583 rem 45
  23. 593 rem 41
  24. 370 rem 882
  25. 519 rem 544
  26. 170 rem 82
  27. 982 rem 533
  28. 588 rem 4
  29. 1047 rem 1
  30. 971 rem 52
  31. 705 rem 59
  32. 269 rem 530
  33. 305 rem 26
  34. 462 rem 7
  35. 491 rem 30
  36. 585 rem 82
  37. 762 rem 493
  38. 217 rem 8
  39. 582 rem 236
  40. 547 rem 38

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