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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 407 · 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. 1.44648 ÷ 998 =
  2. 2.77986 ÷ 89 =
  3. 3.203250 ÷ 997 =
  4. 4.668245 ÷ 998 =
  5. 5.884897 ÷ 998 =
  6. 6.211942 ÷ 997 =
  7. 7.33753 ÷ 97 =
  8. 8.83324 ÷ 88 =
  9. 9.813659 ÷ 988 =
  10. 10.658829 ÷ 897 =
  11. 11.8061 ÷ 96 =
  12. 12.87628 ÷ 89 =
  13. 13.288186 ÷ 989 =
  14. 14.592489 ÷ 997 =
  15. 15.24923 ÷ 97 =
  16. 16.26880 ÷ 89 =
  17. 17.610219 ÷ 897 =
  18. 18.47715 ÷ 997 =
  19. 19.905300 ÷ 989 =
  20. 20.32610 ÷ 97 =
  21. 21.78604 ÷ 89 =
  22. 22.170201 ÷ 998 =
  23. 23.651136 ÷ 897 =
  24. 24.677140 ÷ 988 =
  25. 25.25552 ÷ 97 =
  26. 26.21291 ÷ 88 =
  27. 27.66098 ÷ 897 =
  28. 28.8073 ÷ 8 =
  29. 29.70909 ÷ 97 =
  30. 30.29678 ÷ 97 =
  31. 31.96261 ÷ 98 =
  32. 32.520200 ÷ 989 =
  33. 33.41992 ÷ 97 =
  34. 34.416388 ÷ 998 =
  35. 35.11827 ÷ 988 =
  36. 36.159174 ÷ 989 =
  37. 37.248544 ÷ 988 =
  38. 38.150973 ÷ 998 =
  39. 39.19532 ÷ 96 =
  40. 40.29659 ÷ 97 =

Answer key

  1. 44 rem 736
  2. 876 rem 22
  3. 203 rem 859
  4. 669 rem 583
  5. 886 rem 669
  6. 212 rem 578
  7. 347 rem 94
  8. 946 rem 76
  9. 823 rem 535
  10. 734 rem 431
  11. 83 rem 93
  12. 984 rem 52
  13. 291 rem 387
  14. 594 rem 271
  15. 256 rem 91
  16. 302 rem 2
  17. 680 rem 259
  18. 47 rem 856
  19. 915 rem 365
  20. 336 rem 18
  21. 883 rem 17
  22. 170 rem 541
  23. 725 rem 811
  24. 685 rem 360
  25. 263 rem 41
  26. 241 rem 83
  27. 73 rem 617
  28. 1009 rem 1
  29. 731 rem 2
  30. 305 rem 93
  31. 982 rem 25
  32. 525 rem 975
  33. 432 rem 88
  34. 417 rem 222
  35. 11 rem 959
  36. 160 rem 934
  37. 251 rem 556
  38. 151 rem 275
  39. 203 rem 44
  40. 305 rem 74

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