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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 462 · 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. 1.633970 ÷ 897 =
  2. 2.422350 ÷ 897 =
  3. 3.916686 ÷ 988 =
  4. 4.9149 ÷ 8 =
  5. 5.845172 ÷ 997 =
  6. 6.304958 ÷ 998 =
  7. 7.40002 ÷ 989 =
  8. 8.51381 ÷ 98 =
  9. 9.66047 ÷ 96 =
  10. 10.44839 ÷ 98 =
  11. 11.500093 ÷ 897 =
  12. 12.58868 ÷ 988 =
  13. 13.563740 ÷ 988 =
  14. 14.416790 ÷ 988 =
  15. 15.964676 ÷ 989 =
  16. 16.653982 ÷ 997 =
  17. 17.49998 ÷ 988 =
  18. 18.18359 ÷ 98 =
  19. 19.90332 ÷ 98 =
  20. 20.6891 ÷ 8 =
  21. 21.26985 ÷ 97 =
  22. 22.309399 ÷ 988 =
  23. 23.493328 ÷ 897 =
  24. 24.174554 ÷ 989 =
  25. 25.84591 ÷ 96 =
  26. 26.76292 ÷ 89 =
  27. 27.199475 ÷ 897 =
  28. 28.715570 ÷ 997 =
  29. 29.17392 ÷ 96 =
  30. 30.683073 ÷ 997 =
  31. 31.922409 ÷ 998 =
  32. 32.49856 ÷ 98 =
  33. 33.34332 ÷ 96 =
  34. 34.369794 ÷ 989 =
  35. 35.79345 ÷ 88 =
  36. 36.16186 ÷ 997 =
  37. 37.85730 ÷ 988 =
  38. 38.66001 ÷ 98 =
  39. 39.80297 ÷ 89 =
  40. 40.76262 ÷ 97 =

Answer key

  1. 706 rem 688
  2. 470 rem 760
  3. 927 rem 810
  4. 1143 rem 5
  5. 847 rem 713
  6. 305 rem 568
  7. 40 rem 442
  8. 524 rem 29
  9. 687 rem 95
  10. 457 rem 53
  11. 557 rem 464
  12. 59 rem 576
  13. 570 rem 580
  14. 421 rem 842
  15. 975 rem 401
  16. 655 rem 947
  17. 50 rem 598
  18. 187 rem 33
  19. 921 rem 74
  20. 861 rem 3
  21. 278 rem 19
  22. 313 rem 155
  23. 549 rem 875
  24. 176 rem 490
  25. 881 rem 15
  26. 857 rem 19
  27. 222 rem 341
  28. 717 rem 721
  29. 181 rem 16
  30. 685 rem 128
  31. 924 rem 257
  32. 508 rem 72
  33. 357 rem 60
  34. 373 rem 897
  35. 901 rem 57
  36. 16 rem 234
  37. 86 rem 762
  38. 673 rem 47
  39. 902 rem 19
  40. 786 rem 20

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