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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 8 · 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. 1.182205 ÷ 997 =
  2. 2.42180 ÷ 97 =
  3. 3.23496 ÷ 97 =
  4. 4.29215 ÷ 98 =
  5. 5.794103 ÷ 997 =
  6. 6.829302 ÷ 997 =
  7. 7.155768 ÷ 897 =
  8. 8.3450 ÷ 8 =
  9. 9.89090 ÷ 97 =
  10. 10.68266 ÷ 89 =
  11. 11.978990 ÷ 997 =
  12. 12.41620 ÷ 98 =
  13. 13.23746 ÷ 88 =
  14. 14.7499 ÷ 8 =
  15. 15.948484 ÷ 998 =
  16. 16.23928 ÷ 88 =
  17. 17.620069 ÷ 897 =
  18. 18.340631 ÷ 997 =
  19. 19.693946 ÷ 988 =
  20. 20.528179 ÷ 897 =
  21. 21.5803 ÷ 8 =
  22. 22.2450 ÷ 8 =
  23. 23.615132 ÷ 988 =
  24. 24.46960 ÷ 96 =
  25. 25.659952 ÷ 997 =
  26. 26.73894 ÷ 97 =
  27. 27.76853 ÷ 97 =
  28. 28.793012 ÷ 989 =
  29. 29.1531 ÷ 8 =
  30. 30.1345 ÷ 88 =
  31. 31.46579 ÷ 96 =
  32. 32.170858 ÷ 997 =
  33. 33.678256 ÷ 989 =
  34. 34.48691 ÷ 98 =
  35. 35.835936 ÷ 989 =
  36. 36.921359 ÷ 988 =
  37. 37.78255 ÷ 988 =
  38. 38.17714 ÷ 98 =
  39. 39.543164 ÷ 998 =
  40. 40.75397 ÷ 97 =

Answer key

  1. 182 rem 751
  2. 434 rem 82
  3. 242 rem 22
  4. 298 rem 11
  5. 796 rem 491
  6. 831 rem 795
  7. 173 rem 587
  8. 431 rem 2
  9. 918 rem 44
  10. 767 rem 3
  11. 981 rem 933
  12. 424 rem 68
  13. 269 rem 74
  14. 937 rem 3
  15. 950 rem 384
  16. 271 rem 80
  17. 691 rem 242
  18. 341 rem 654
  19. 702 rem 370
  20. 588 rem 743
  21. 725 rem 3
  22. 306 rem 2
  23. 622 rem 596
  24. 489 rem 16
  25. 661 rem 935
  26. 761 rem 77
  27. 792 rem 29
  28. 801 rem 823
  29. 191 rem 3
  30. 15 rem 25
  31. 485 rem 19
  32. 171 rem 371
  33. 685 rem 791
  34. 496 rem 83
  35. 845 rem 231
  36. 932 rem 543
  37. 79 rem 203
  38. 180 rem 74
  39. 544 rem 252
  40. 777 rem 28

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