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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 345 · 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. 1.673056 ÷ 897 =
  2. 2.39822 ÷ 89 =
  3. 3.21590 ÷ 97 =
  4. 4.581378 ÷ 997 =
  5. 5.65499 ÷ 98 =
  6. 6.872122 ÷ 897 =
  7. 7.1381 ÷ 8 =
  8. 8.56941 ÷ 89 =
  9. 9.28762 ÷ 96 =
  10. 10.56152 ÷ 89 =
  11. 11.363502 ÷ 988 =
  12. 12.667659 ÷ 988 =
  13. 13.74392 ÷ 97 =
  14. 14.290039 ÷ 989 =
  15. 15.576478 ÷ 897 =
  16. 16.96290 ÷ 97 =
  17. 17.1743 ÷ 8 =
  18. 18.942849 ÷ 998 =
  19. 19.3761 ÷ 8 =
  20. 20.747337 ÷ 989 =
  21. 21.917955 ÷ 998 =
  22. 22.11524 ÷ 98 =
  23. 23.84326 ÷ 96 =
  24. 24.38940 ÷ 98 =
  25. 25.988579 ÷ 988 =
  26. 26.364452 ÷ 897 =
  27. 27.186059 ÷ 988 =
  28. 28.93673 ÷ 98 =
  29. 29.23130 ÷ 997 =
  30. 30.76478 ÷ 989 =
  31. 31.428620 ÷ 988 =
  32. 32.256078 ÷ 997 =
  33. 33.91478 ÷ 97 =
  34. 34.6545 ÷ 8 =
  35. 35.97879 ÷ 89 =
  36. 36.60231 ÷ 96 =
  37. 37.802994 ÷ 998 =
  38. 38.7105 ÷ 8 =
  39. 39.72582 ÷ 897 =
  40. 40.77668 ÷ 98 =

Answer key

  1. 750 rem 306
  2. 447 rem 39
  3. 222 rem 56
  4. 583 rem 127
  5. 668 rem 35
  6. 972 rem 238
  7. 172 rem 5
  8. 639 rem 70
  9. 299 rem 58
  10. 630 rem 82
  11. 367 rem 906
  12. 675 rem 759
  13. 766 rem 90
  14. 293 rem 262
  15. 642 rem 604
  16. 992 rem 66
  17. 217 rem 7
  18. 944 rem 737
  19. 470 rem 1
  20. 755 rem 642
  21. 919 rem 793
  22. 117 rem 58
  23. 878 rem 38
  24. 397 rem 34
  25. 1000 rem 579
  26. 406 rem 270
  27. 188 rem 315
  28. 955 rem 83
  29. 23 rem 199
  30. 77 rem 325
  31. 433 rem 816
  32. 256 rem 846
  33. 943 rem 7
  34. 818 rem 1
  35. 1099 rem 68
  36. 627 rem 39
  37. 804 rem 602
  38. 888 rem 1
  39. 80 rem 822
  40. 792 rem 52

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