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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 438 · 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. 1.93148 ÷ 96 =
  2. 2.500602 ÷ 997 =
  3. 3.675708 ÷ 988 =
  4. 4.394563 ÷ 988 =
  5. 5.94797 ÷ 897 =
  6. 6.718829 ÷ 998 =
  7. 7.97858 ÷ 88 =
  8. 8.3147 ÷ 8 =
  9. 9.24766 ÷ 89 =
  10. 10.297618 ÷ 997 =
  11. 11.454415 ÷ 988 =
  12. 12.66536 ÷ 97 =
  13. 13.38350 ÷ 89 =
  14. 14.104084 ÷ 897 =
  15. 15.41824 ÷ 98 =
  16. 16.770809 ÷ 988 =
  17. 17.188971 ÷ 897 =
  18. 18.236296 ÷ 988 =
  19. 19.39379 ÷ 988 =
  20. 20.702560 ÷ 897 =
  21. 21.67271 ÷ 97 =
  22. 22.857937 ÷ 989 =
  23. 23.5266 ÷ 8 =
  24. 24.327278 ÷ 998 =
  25. 25.81319 ÷ 98 =
  26. 26.77359 ÷ 98 =
  27. 27.799933 ÷ 989 =
  28. 28.198333 ÷ 897 =
  29. 29.48862 ÷ 897 =
  30. 30.309853 ÷ 998 =
  31. 31.18878 ÷ 97 =
  32. 32.9969 ÷ 97 =
  33. 33.927541 ÷ 988 =
  34. 34.90254 ÷ 98 =
  35. 35.19948 ÷ 89 =
  36. 36.403153 ÷ 997 =
  37. 37.9600 ÷ 8 =
  38. 38.97619 ÷ 88 =
  39. 39.85629 ÷ 98 =
  40. 40.150834 ÷ 897 =

Answer key

  1. 970 rem 28
  2. 502 rem 108
  3. 683 rem 904
  4. 399 rem 351
  5. 105 rem 612
  6. 720 rem 269
  7. 1112 rem 2
  8. 393 rem 3
  9. 278 rem 24
  10. 298 rem 512
  11. 459 rem 923
  12. 685 rem 91
  13. 430 rem 80
  14. 116 rem 32
  15. 426 rem 76
  16. 780 rem 169
  17. 210 rem 601
  18. 239 rem 164
  19. 39 rem 847
  20. 783 rem 209
  21. 693 rem 50
  22. 867 rem 474
  23. 658 rem 2
  24. 327 rem 932
  25. 829 rem 77
  26. 789 rem 37
  27. 808 rem 821
  28. 221 rem 96
  29. 54 rem 424
  30. 310 rem 473
  31. 194 rem 60
  32. 102 rem 75
  33. 938 rem 797
  34. 920 rem 94
  35. 224 rem 12
  36. 404 rem 365
  37. 1200 rem 0
  38. 1109 rem 27
  39. 873 rem 75
  40. 168 rem 138

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