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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 258 · 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. 1.15612 ÷ 96 =
  2. 2.2396 ÷ 98 =
  3. 3.100775 ÷ 988 =
  4. 4.413265 ÷ 988 =
  5. 5.82954 ÷ 97 =
  6. 6.2828 ÷ 8 =
  7. 7.352632 ÷ 897 =
  8. 8.69923 ÷ 97 =
  9. 9.27369 ÷ 98 =
  10. 10.85191 ÷ 97 =
  11. 11.21924 ÷ 88 =
  12. 12.3202 ÷ 8 =
  13. 13.252410 ÷ 988 =
  14. 14.22196 ÷ 97 =
  15. 15.13320 ÷ 97 =
  16. 16.19145 ÷ 98 =
  17. 17.678676 ÷ 897 =
  18. 18.37847 ÷ 88 =
  19. 19.4708 ÷ 8 =
  20. 20.2261 ÷ 8 =
  21. 21.47886 ÷ 97 =
  22. 22.81530 ÷ 96 =
  23. 23.80323 ÷ 97 =
  24. 24.58077 ÷ 89 =
  25. 25.14798 ÷ 989 =
  26. 26.93234 ÷ 98 =
  27. 27.4426 ÷ 8 =
  28. 28.605191 ÷ 998 =
  29. 29.37514 ÷ 97 =
  30. 30.18319 ÷ 88 =
  31. 31.16452 ÷ 88 =
  32. 32.35754 ÷ 98 =
  33. 33.83552 ÷ 997 =
  34. 34.915040 ÷ 998 =
  35. 35.68785 ÷ 88 =
  36. 36.196611 ÷ 988 =
  37. 37.17852 ÷ 988 =
  38. 38.372936 ÷ 897 =
  39. 39.769240 ÷ 897 =
  40. 40.30847 ÷ 97 =

Answer key

  1. 162 rem 60
  2. 24 rem 44
  3. 101 rem 987
  4. 418 rem 281
  5. 855 rem 19
  6. 353 rem 4
  7. 393 rem 111
  8. 720 rem 83
  9. 279 rem 27
  10. 878 rem 25
  11. 249 rem 12
  12. 400 rem 2
  13. 255 rem 470
  14. 228 rem 80
  15. 137 rem 31
  16. 195 rem 35
  17. 756 rem 544
  18. 430 rem 7
  19. 588 rem 4
  20. 282 rem 5
  21. 493 rem 65
  22. 849 rem 26
  23. 828 rem 7
  24. 652 rem 49
  25. 14 rem 952
  26. 951 rem 36
  27. 553 rem 2
  28. 606 rem 403
  29. 386 rem 72
  30. 208 rem 15
  31. 186 rem 84
  32. 364 rem 82
  33. 83 rem 801
  34. 916 rem 872
  35. 781 rem 57
  36. 198 rem 987
  37. 18 rem 68
  38. 415 rem 681
  39. 857 rem 511
  40. 318 rem 1

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