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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 860 · 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. 1.396354 ÷ 998 =
  2. 2.48583 ÷ 89 =
  3. 3.90359 ÷ 89 =
  4. 4.845940 ÷ 998 =
  5. 5.7682 ÷ 8 =
  6. 6.133727 ÷ 997 =
  7. 7.91927 ÷ 97 =
  8. 8.71372 ÷ 97 =
  9. 9.198580 ÷ 988 =
  10. 10.114653 ÷ 997 =
  11. 11.94220 ÷ 97 =
  12. 12.71514 ÷ 98 =
  13. 13.148728 ÷ 897 =
  14. 14.91557 ÷ 98 =
  15. 15.59297 ÷ 96 =
  16. 16.23306 ÷ 98 =
  17. 17.516609 ÷ 997 =
  18. 18.814280 ÷ 997 =
  19. 19.520190 ÷ 989 =
  20. 20.52111 ÷ 97 =
  21. 21.19641 ÷ 89 =
  22. 22.265817 ÷ 998 =
  23. 23.847821 ÷ 989 =
  24. 24.66408 ÷ 98 =
  25. 25.963875 ÷ 998 =
  26. 26.48387 ÷ 97 =
  27. 27.31238 ÷ 98 =
  28. 28.565518 ÷ 989 =
  29. 29.7750 ÷ 96 =
  30. 30.439274 ÷ 988 =
  31. 31.75926 ÷ 98 =
  32. 32.19896 ÷ 97 =
  33. 33.21701 ÷ 98 =
  34. 34.745284 ÷ 988 =
  35. 35.97536 ÷ 96 =
  36. 36.70126 ÷ 96 =
  37. 37.19072 ÷ 97 =
  38. 38.65875 ÷ 97 =
  39. 39.77725 ÷ 97 =
  40. 40.35331 ÷ 97 =

Answer key

  1. 397 rem 148
  2. 545 rem 78
  3. 1015 rem 24
  4. 847 rem 634
  5. 960 rem 2
  6. 134 rem 129
  7. 947 rem 68
  8. 735 rem 77
  9. 200 rem 980
  10. 114 rem 995
  11. 971 rem 33
  12. 729 rem 72
  13. 165 rem 723
  14. 934 rem 25
  15. 617 rem 65
  16. 237 rem 80
  17. 518 rem 163
  18. 816 rem 728
  19. 525 rem 965
  20. 537 rem 22
  21. 220 rem 61
  22. 266 rem 349
  23. 857 rem 248
  24. 677 rem 62
  25. 965 rem 805
  26. 498 rem 81
  27. 318 rem 74
  28. 571 rem 799
  29. 80 rem 70
  30. 444 rem 602
  31. 774 rem 74
  32. 205 rem 11
  33. 221 rem 43
  34. 754 rem 332
  35. 1016 rem 0
  36. 730 rem 46
  37. 196 rem 60
  38. 679 rem 12
  39. 801 rem 28
  40. 364 rem 23

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