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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 578 · 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. 1.70271 ÷ 89 =
  2. 2.57969 ÷ 97 =
  3. 3.68867 ÷ 96 =
  4. 4.406104 ÷ 988 =
  5. 5.61613 ÷ 97 =
  6. 6.857823 ÷ 988 =
  7. 7.72931 ÷ 97 =
  8. 8.12086 ÷ 96 =
  9. 9.58035 ÷ 89 =
  10. 10.866219 ÷ 988 =
  11. 11.6385 ÷ 89 =
  12. 12.849518 ÷ 998 =
  13. 13.46588 ÷ 89 =
  14. 14.3664 ÷ 89 =
  15. 15.31442 ÷ 89 =
  16. 16.18905 ÷ 96 =
  17. 17.639816 ÷ 988 =
  18. 18.47853 ÷ 98 =
  19. 19.850280 ÷ 988 =
  20. 20.243668 ÷ 997 =
  21. 21.86361 ÷ 97 =
  22. 22.166439 ÷ 997 =
  23. 23.308152 ÷ 998 =
  24. 24.2186 ÷ 8 =
  25. 25.72316 ÷ 88 =
  26. 26.148070 ÷ 997 =
  27. 27.70172 ÷ 988 =
  28. 28.305306 ÷ 998 =
  29. 29.91704 ÷ 98 =
  30. 30.473966 ÷ 998 =
  31. 31.981871 ÷ 988 =
  32. 32.8795 ÷ 97 =
  33. 33.985170 ÷ 897 =
  34. 34.248285 ÷ 897 =
  35. 35.55460 ÷ 96 =
  36. 36.746707 ÷ 897 =
  37. 37.59596 ÷ 98 =
  38. 38.4668 ÷ 8 =
  39. 39.214251 ÷ 897 =
  40. 40.8420 ÷ 8 =

Answer key

  1. 789 rem 50
  2. 597 rem 60
  3. 717 rem 35
  4. 411 rem 36
  5. 635 rem 18
  6. 868 rem 239
  7. 751 rem 84
  8. 125 rem 86
  9. 652 rem 7
  10. 876 rem 731
  11. 71 rem 66
  12. 851 rem 220
  13. 523 rem 41
  14. 41 rem 15
  15. 353 rem 25
  16. 196 rem 89
  17. 647 rem 580
  18. 488 rem 29
  19. 860 rem 600
  20. 244 rem 400
  21. 890 rem 31
  22. 166 rem 937
  23. 308 rem 768
  24. 273 rem 2
  25. 821 rem 68
  26. 148 rem 514
  27. 71 rem 24
  28. 305 rem 916
  29. 935 rem 74
  30. 474 rem 914
  31. 993 rem 787
  32. 90 rem 65
  33. 1098 rem 264
  34. 276 rem 713
  35. 577 rem 68
  36. 832 rem 403
  37. 608 rem 12
  38. 583 rem 4
  39. 238 rem 765
  40. 1052 rem 4

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