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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 480 · 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. 1.276071 ÷ 998 =
  2. 2.5448 ÷ 8 =
  3. 3.194719 ÷ 998 =
  4. 4.409983 ÷ 998 =
  5. 5.89850 ÷ 88 =
  6. 6.730500 ÷ 897 =
  7. 7.247184 ÷ 897 =
  8. 8.293959 ÷ 988 =
  9. 9.670327 ÷ 989 =
  10. 10.79514 ÷ 98 =
  11. 11.75501 ÷ 98 =
  12. 12.289383 ÷ 997 =
  13. 13.149395 ÷ 989 =
  14. 14.75587 ÷ 89 =
  15. 15.773112 ÷ 897 =
  16. 16.75296 ÷ 88 =
  17. 17.91228 ÷ 89 =
  18. 18.683992 ÷ 997 =
  19. 19.415930 ÷ 997 =
  20. 20.26717 ÷ 89 =
  21. 21.837683 ÷ 998 =
  22. 22.14598 ÷ 97 =
  23. 23.756319 ÷ 997 =
  24. 24.62710 ÷ 98 =
  25. 25.87860 ÷ 96 =
  26. 26.342920 ÷ 897 =
  27. 27.679928 ÷ 988 =
  28. 28.750170 ÷ 989 =
  29. 29.510009 ÷ 998 =
  30. 30.26200 ÷ 97 =
  31. 31.78852 ÷ 89 =
  32. 32.5204 ÷ 8 =
  33. 33.27161 ÷ 96 =
  34. 34.393844 ÷ 997 =
  35. 35.74390 ÷ 98 =
  36. 36.13470 ÷ 98 =
  37. 37.414740 ÷ 988 =
  38. 38.23722 ÷ 998 =
  39. 39.640529 ÷ 997 =
  40. 40.371152 ÷ 989 =

Answer key

  1. 276 rem 623
  2. 681 rem 0
  3. 195 rem 109
  4. 410 rem 803
  5. 1021 rem 2
  6. 814 rem 342
  7. 275 rem 509
  8. 297 rem 523
  9. 677 rem 774
  10. 811 rem 36
  11. 770 rem 41
  12. 290 rem 253
  13. 151 rem 56
  14. 849 rem 26
  15. 861 rem 795
  16. 855 rem 56
  17. 1025 rem 3
  18. 686 rem 50
  19. 417 rem 181
  20. 300 rem 17
  21. 839 rem 361
  22. 150 rem 48
  23. 758 rem 593
  24. 639 rem 88
  25. 915 rem 20
  26. 382 rem 266
  27. 688 rem 184
  28. 758 rem 508
  29. 511 rem 31
  30. 270 rem 10
  31. 885 rem 87
  32. 650 rem 4
  33. 282 rem 89
  34. 395 rem 29
  35. 759 rem 8
  36. 137 rem 44
  37. 419 rem 768
  38. 23 rem 768
  39. 642 rem 455
  40. 375 rem 277

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