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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 796 · 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. 1.44550 ÷ 98 =
  2. 2.14349 ÷ 998 =
  3. 3.34611 ÷ 97 =
  4. 4.2216 ÷ 8 =
  5. 5.73660 ÷ 88 =
  6. 6.64089 ÷ 88 =
  7. 7.502266 ÷ 998 =
  8. 8.48739 ÷ 88 =
  9. 9.52648 ÷ 97 =
  10. 10.64215 ÷ 97 =
  11. 11.180417 ÷ 997 =
  12. 12.8171 ÷ 97 =
  13. 13.50662 ÷ 98 =
  14. 14.997691 ÷ 998 =
  15. 15.277043 ÷ 998 =
  16. 16.358198 ÷ 998 =
  17. 17.298742 ÷ 989 =
  18. 18.27378 ÷ 96 =
  19. 19.8903 ÷ 89 =
  20. 20.842251 ÷ 998 =
  21. 21.565877 ÷ 998 =
  22. 22.108391 ÷ 897 =
  23. 23.42464 ÷ 97 =
  24. 24.36999 ÷ 897 =
  25. 25.224973 ÷ 897 =
  26. 26.25358 ÷ 97 =
  27. 27.210264 ÷ 897 =
  28. 28.86032 ÷ 96 =
  29. 29.295393 ÷ 988 =
  30. 30.889627 ÷ 997 =
  31. 31.13680 ÷ 89 =
  32. 32.489609 ÷ 989 =
  33. 33.670052 ÷ 988 =
  34. 34.25768 ÷ 98 =
  35. 35.86994 ÷ 97 =
  36. 36.675491 ÷ 897 =
  37. 37.623575 ÷ 897 =
  38. 38.63994 ÷ 89 =
  39. 39.166117 ÷ 989 =
  40. 40.58159 ÷ 988 =

Answer key

  1. 454 rem 58
  2. 14 rem 377
  3. 356 rem 79
  4. 277 rem 0
  5. 837 rem 4
  6. 728 rem 25
  7. 503 rem 272
  8. 553 rem 75
  9. 542 rem 74
  10. 662 rem 1
  11. 180 rem 957
  12. 84 rem 23
  13. 516 rem 94
  14. 999 rem 689
  15. 277 rem 597
  16. 358 rem 914
  17. 302 rem 64
  18. 285 rem 18
  19. 100 rem 3
  20. 843 rem 937
  21. 567 rem 11
  22. 120 rem 751
  23. 437 rem 75
  24. 41 rem 222
  25. 250 rem 723
  26. 261 rem 41
  27. 234 rem 366
  28. 896 rem 16
  29. 298 rem 969
  30. 892 rem 303
  31. 153 rem 63
  32. 495 rem 54
  33. 678 rem 188
  34. 262 rem 92
  35. 896 rem 82
  36. 753 rem 50
  37. 695 rem 160
  38. 719 rem 3
  39. 167 rem 954
  40. 58 rem 855

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