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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 975 · 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. 1.8643 ÷ 8 =
  2. 2.3249 ÷ 8 =
  3. 3.24054 ÷ 88 =
  4. 4.14183 ÷ 88 =
  5. 5.95068 ÷ 988 =
  6. 6.544773 ÷ 989 =
  7. 7.1004 ÷ 8 =
  8. 8.417063 ÷ 997 =
  9. 9.58942 ÷ 88 =
  10. 10.411817 ÷ 998 =
  11. 11.5367 ÷ 8 =
  12. 12.41648 ÷ 98 =
  13. 13.57233 ÷ 97 =
  14. 14.94340 ÷ 97 =
  15. 15.253841 ÷ 897 =
  16. 16.68137 ÷ 96 =
  17. 17.192099 ÷ 897 =
  18. 18.628329 ÷ 897 =
  19. 19.16367 ÷ 98 =
  20. 20.26616 ÷ 97 =
  21. 21.5156 ÷ 8 =
  22. 22.8421 ÷ 8 =
  23. 23.660824 ÷ 897 =
  24. 24.23949 ÷ 98 =
  25. 25.125980 ÷ 988 =
  26. 26.95806 ÷ 96 =
  27. 27.86584 ÷ 98 =
  28. 28.3408 ÷ 88 =
  29. 29.63943 ÷ 88 =
  30. 30.787285 ÷ 989 =
  31. 31.78452 ÷ 88 =
  32. 32.68609 ÷ 97 =
  33. 33.82152 ÷ 96 =
  34. 34.412548 ÷ 998 =
  35. 35.53955 ÷ 997 =
  36. 36.8641 ÷ 8 =
  37. 37.5759 ÷ 8 =
  38. 38.24851 ÷ 89 =
  39. 39.984824 ÷ 897 =
  40. 40.5775 ÷ 8 =

Answer key

  1. 1080 rem 3
  2. 406 rem 1
  3. 273 rem 30
  4. 161 rem 15
  5. 96 rem 220
  6. 550 rem 823
  7. 125 rem 4
  8. 418 rem 317
  9. 669 rem 70
  10. 412 rem 641
  11. 670 rem 7
  12. 424 rem 96
  13. 590 rem 3
  14. 972 rem 56
  15. 282 rem 887
  16. 709 rem 73
  17. 214 rem 141
  18. 700 rem 429
  19. 167 rem 1
  20. 274 rem 38
  21. 644 rem 4
  22. 1052 rem 5
  23. 736 rem 632
  24. 244 rem 37
  25. 127 rem 504
  26. 997 rem 94
  27. 883 rem 50
  28. 38 rem 64
  29. 726 rem 55
  30. 796 rem 41
  31. 891 rem 44
  32. 707 rem 30
  33. 855 rem 72
  34. 413 rem 374
  35. 54 rem 117
  36. 1080 rem 1
  37. 719 rem 7
  38. 279 rem 20
  39. 1097 rem 815
  40. 721 rem 7

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