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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 17 · 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. 1.557367 ÷ 897 =
  2. 2.823064 ÷ 897 =
  3. 3.51557 ÷ 96 =
  4. 4.619168 ÷ 998 =
  5. 5.34612 ÷ 89 =
  6. 6.570699 ÷ 997 =
  7. 7.42630 ÷ 96 =
  8. 8.442351 ÷ 998 =
  9. 9.787116 ÷ 997 =
  10. 10.3193 ÷ 96 =
  11. 11.30263 ÷ 998 =
  12. 12.31710 ÷ 88 =
  13. 13.855765 ÷ 997 =
  14. 14.899189 ÷ 988 =
  15. 15.93929 ÷ 98 =
  16. 16.75503 ÷ 97 =
  17. 17.820055 ÷ 988 =
  18. 18.92208 ÷ 88 =
  19. 19.480723 ÷ 998 =
  20. 20.24481 ÷ 98 =
  21. 21.76396 ÷ 88 =
  22. 22.549769 ÷ 998 =
  23. 23.11416 ÷ 989 =
  24. 24.474792 ÷ 897 =
  25. 25.99018 ÷ 88 =
  26. 26.62075 ÷ 97 =
  27. 27.26773 ÷ 97 =
  28. 28.66615 ÷ 97 =
  29. 29.776 ÷ 8 =
  30. 30.501850 ÷ 998 =
  31. 31.169952 ÷ 989 =
  32. 32.63202 ÷ 89 =
  33. 33.1963 ÷ 8 =
  34. 34.810599 ÷ 998 =
  35. 35.30772 ÷ 89 =
  36. 36.9686 ÷ 97 =
  37. 37.651973 ÷ 988 =
  38. 38.170866 ÷ 989 =
  39. 39.275343 ÷ 997 =
  40. 40.242460 ÷ 989 =

Answer key

  1. 621 rem 330
  2. 917 rem 515
  3. 537 rem 5
  4. 620 rem 408
  5. 388 rem 80
  6. 572 rem 415
  7. 444 rem 6
  8. 443 rem 237
  9. 789 rem 483
  10. 33 rem 25
  11. 30 rem 323
  12. 360 rem 30
  13. 858 rem 339
  14. 910 rem 109
  15. 958 rem 45
  16. 778 rem 37
  17. 830 rem 15
  18. 1047 rem 72
  19. 481 rem 685
  20. 249 rem 79
  21. 868 rem 12
  22. 550 rem 869
  23. 11 rem 537
  24. 529 rem 279
  25. 1125 rem 18
  26. 639 rem 92
  27. 276 rem 1
  28. 686 rem 73
  29. 97 rem 0
  30. 502 rem 854
  31. 171 rem 833
  32. 710 rem 12
  33. 245 rem 3
  34. 812 rem 223
  35. 345 rem 67
  36. 99 rem 83
  37. 659 rem 881
  38. 172 rem 758
  39. 276 rem 171
  40. 245 rem 155

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