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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 428 · 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. 1.611185 ÷ 998 =
  2. 2.43407 ÷ 97 =
  3. 3.137639 ÷ 997 =
  4. 4.9821 ÷ 8 =
  5. 5.29317 ÷ 988 =
  6. 6.163899 ÷ 989 =
  7. 7.65993 ÷ 97 =
  8. 8.41979 ÷ 89 =
  9. 9.78279 ÷ 988 =
  10. 10.30984 ÷ 97 =
  11. 11.85527 ÷ 97 =
  12. 12.948586 ÷ 997 =
  13. 13.24763 ÷ 97 =
  14. 14.400868 ÷ 988 =
  15. 15.3792 ÷ 96 =
  16. 16.3184 ÷ 8 =
  17. 17.797675 ÷ 998 =
  18. 18.4816 ÷ 8 =
  19. 19.114200 ÷ 988 =
  20. 20.93588 ÷ 97 =
  21. 21.51752 ÷ 97 =
  22. 22.512529 ÷ 998 =
  23. 23.85961 ÷ 89 =
  24. 24.4656 ÷ 8 =
  25. 25.534996 ÷ 988 =
  26. 26.46552 ÷ 98 =
  27. 27.80964 ÷ 88 =
  28. 28.39295 ÷ 96 =
  29. 29.1986 ÷ 98 =
  30. 30.183615 ÷ 988 =
  31. 31.64152 ÷ 97 =
  32. 32.80366 ÷ 96 =
  33. 33.274528 ÷ 998 =
  34. 34.89706 ÷ 98 =
  35. 35.46015 ÷ 88 =
  36. 36.2189 ÷ 8 =
  37. 37.24541 ÷ 88 =
  38. 38.80082 ÷ 96 =
  39. 39.292932 ÷ 989 =
  40. 40.664381 ÷ 998 =

Answer key

  1. 612 rem 409
  2. 447 rem 48
  3. 138 rem 53
  4. 1227 rem 5
  5. 29 rem 665
  6. 165 rem 714
  7. 680 rem 33
  8. 471 rem 60
  9. 79 rem 227
  10. 319 rem 41
  11. 881 rem 70
  12. 951 rem 439
  13. 255 rem 28
  14. 405 rem 728
  15. 39 rem 48
  16. 398 rem 0
  17. 799 rem 273
  18. 602 rem 0
  19. 115 rem 580
  20. 964 rem 80
  21. 533 rem 51
  22. 513 rem 555
  23. 965 rem 76
  24. 582 rem 0
  25. 541 rem 488
  26. 475 rem 2
  27. 920 rem 4
  28. 409 rem 31
  29. 20 rem 26
  30. 185 rem 835
  31. 661 rem 35
  32. 837 rem 14
  33. 275 rem 78
  34. 915 rem 36
  35. 522 rem 79
  36. 273 rem 5
  37. 278 rem 77
  38. 834 rem 18
  39. 296 rem 188
  40. 665 rem 711

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