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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 346 · 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. 1.808740 ÷ 997 =
  2. 2.6378 ÷ 8 =
  3. 3.77184 ÷ 98 =
  4. 4.94878 ÷ 97 =
  5. 5.4854 ÷ 8 =
  6. 6.17064 ÷ 96 =
  7. 7.27868 ÷ 89 =
  8. 8.712506 ÷ 989 =
  9. 9.67877 ÷ 88 =
  10. 10.649128 ÷ 989 =
  11. 11.69715 ÷ 98 =
  12. 12.964810 ÷ 988 =
  13. 13.334986 ÷ 989 =
  14. 14.8213 ÷ 8 =
  15. 15.809811 ÷ 997 =
  16. 16.513379 ÷ 988 =
  17. 17.890642 ÷ 998 =
  18. 18.19267 ÷ 998 =
  19. 19.5066 ÷ 8 =
  20. 20.243557 ÷ 998 =
  21. 21.137817 ÷ 897 =
  22. 22.77996 ÷ 88 =
  23. 23.3754 ÷ 88 =
  24. 24.745464 ÷ 988 =
  25. 25.64373 ÷ 98 =
  26. 26.69399 ÷ 88 =
  27. 27.454169 ÷ 997 =
  28. 28.7825 ÷ 8 =
  29. 29.208983 ÷ 997 =
  30. 30.43533 ÷ 97 =
  31. 31.65242 ÷ 89 =
  32. 32.756819 ÷ 997 =
  33. 33.71044 ÷ 988 =
  34. 34.125153 ÷ 989 =
  35. 35.47251 ÷ 96 =
  36. 36.81195 ÷ 89 =
  37. 37.570529 ÷ 998 =
  38. 38.772545 ÷ 988 =
  39. 39.1311 ÷ 97 =
  40. 40.983570 ÷ 989 =

Answer key

  1. 811 rem 173
  2. 797 rem 2
  3. 787 rem 58
  4. 978 rem 12
  5. 606 rem 6
  6. 177 rem 72
  7. 313 rem 11
  8. 720 rem 426
  9. 771 rem 29
  10. 656 rem 344
  11. 711 rem 37
  12. 976 rem 522
  13. 338 rem 704
  14. 1026 rem 5
  15. 812 rem 247
  16. 519 rem 607
  17. 892 rem 426
  18. 19 rem 305
  19. 633 rem 2
  20. 244 rem 45
  21. 153 rem 576
  22. 886 rem 28
  23. 42 rem 58
  24. 754 rem 512
  25. 656 rem 85
  26. 788 rem 55
  27. 455 rem 534
  28. 978 rem 1
  29. 209 rem 610
  30. 448 rem 77
  31. 733 rem 5
  32. 759 rem 96
  33. 71 rem 896
  34. 126 rem 539
  35. 492 rem 19
  36. 912 rem 27
  37. 571 rem 671
  38. 781 rem 917
  39. 13 rem 50
  40. 994 rem 504

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