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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 336 · 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. 1.73089 ÷ 98 =
  2. 2.17239 ÷ 97 =
  3. 3.3065 ÷ 8 =
  4. 4.781544 ÷ 989 =
  5. 5.983980 ÷ 997 =
  6. 6.419882 ÷ 997 =
  7. 7.9685 ÷ 98 =
  8. 8.74402 ÷ 97 =
  9. 9.8719 ÷ 8 =
  10. 10.37842 ÷ 988 =
  11. 11.28875 ÷ 96 =
  12. 12.62749 ÷ 96 =
  13. 13.291106 ÷ 897 =
  14. 14.21524 ÷ 98 =
  15. 15.936933 ÷ 988 =
  16. 16.201303 ÷ 998 =
  17. 17.279537 ÷ 989 =
  18. 18.9666 ÷ 97 =
  19. 19.14524 ÷ 89 =
  20. 20.986190 ÷ 897 =
  21. 21.257336 ÷ 988 =
  22. 22.1790 ÷ 8 =
  23. 23.67296 ÷ 98 =
  24. 24.757469 ÷ 998 =
  25. 25.11657 ÷ 96 =
  26. 26.449925 ÷ 989 =
  27. 27.552050 ÷ 989 =
  28. 28.170352 ÷ 998 =
  29. 29.39996 ÷ 97 =
  30. 30.243412 ÷ 998 =
  31. 31.175809 ÷ 897 =
  32. 32.29190 ÷ 988 =
  33. 33.226242 ÷ 988 =
  34. 34.19270 ÷ 88 =
  35. 35.42591 ÷ 989 =
  36. 36.867048 ÷ 989 =
  37. 37.812058 ÷ 989 =
  38. 38.61644 ÷ 897 =
  39. 39.49196 ÷ 98 =
  40. 40.57687 ÷ 98 =

Answer key

  1. 745 rem 79
  2. 177 rem 70
  3. 383 rem 1
  4. 790 rem 234
  5. 986 rem 938
  6. 421 rem 145
  7. 98 rem 81
  8. 767 rem 3
  9. 1089 rem 7
  10. 38 rem 298
  11. 300 rem 75
  12. 653 rem 61
  13. 324 rem 478
  14. 219 rem 62
  15. 948 rem 309
  16. 201 rem 705
  17. 282 rem 639
  18. 99 rem 63
  19. 163 rem 17
  20. 1099 rem 387
  21. 260 rem 456
  22. 223 rem 6
  23. 686 rem 68
  24. 758 rem 985
  25. 121 rem 41
  26. 454 rem 919
  27. 558 rem 188
  28. 170 rem 692
  29. 412 rem 32
  30. 243 rem 898
  31. 195 rem 894
  32. 29 rem 538
  33. 228 rem 978
  34. 218 rem 86
  35. 43 rem 64
  36. 876 rem 684
  37. 821 rem 89
  38. 68 rem 648
  39. 502 rem 0
  40. 588 rem 63

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