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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 797 · 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. 1.20637 ÷ 98 =
  2. 2.879772 ÷ 897 =
  3. 3.7611 ÷ 97 =
  4. 4.4023 ÷ 8 =
  5. 5.784633 ÷ 897 =
  6. 6.6694 ÷ 89 =
  7. 7.994642 ÷ 897 =
  8. 8.20632 ÷ 89 =
  9. 9.83794 ÷ 96 =
  10. 10.1487 ÷ 8 =
  11. 11.2571 ÷ 96 =
  12. 12.301430 ÷ 997 =
  13. 13.959776 ÷ 988 =
  14. 14.45229 ÷ 98 =
  15. 15.715144 ÷ 897 =
  16. 16.78872 ÷ 98 =
  17. 17.53496 ÷ 988 =
  18. 18.63270 ÷ 89 =
  19. 19.35167 ÷ 88 =
  20. 20.27092 ÷ 989 =
  21. 21.50108 ÷ 98 =
  22. 22.361818 ÷ 997 =
  23. 23.5738 ÷ 8 =
  24. 24.587761 ÷ 989 =
  25. 25.955566 ÷ 997 =
  26. 26.82829 ÷ 88 =
  27. 27.300470 ÷ 997 =
  28. 28.238093 ÷ 998 =
  29. 29.25588 ÷ 89 =
  30. 30.613712 ÷ 997 =
  31. 31.89673 ÷ 998 =
  32. 32.34927 ÷ 88 =
  33. 33.22359 ÷ 89 =
  34. 34.93933 ÷ 97 =
  35. 35.79506 ÷ 97 =
  36. 36.73681 ÷ 98 =
  37. 37.40422 ÷ 88 =
  38. 38.29003 ÷ 89 =
  39. 39.81585 ÷ 97 =
  40. 40.240612 ÷ 988 =

Answer key

  1. 210 rem 57
  2. 980 rem 712
  3. 78 rem 45
  4. 502 rem 7
  5. 874 rem 655
  6. 75 rem 19
  7. 1108 rem 766
  8. 231 rem 73
  9. 872 rem 82
  10. 185 rem 7
  11. 26 rem 75
  12. 302 rem 336
  13. 971 rem 428
  14. 461 rem 51
  15. 797 rem 235
  16. 804 rem 80
  17. 54 rem 144
  18. 710 rem 80
  19. 399 rem 55
  20. 27 rem 389
  21. 511 rem 30
  22. 362 rem 904
  23. 717 rem 2
  24. 594 rem 295
  25. 958 rem 440
  26. 941 rem 21
  27. 301 rem 373
  28. 238 rem 569
  29. 287 rem 45
  30. 615 rem 557
  31. 89 rem 851
  32. 396 rem 79
  33. 251 rem 20
  34. 968 rem 37
  35. 819 rem 63
  36. 751 rem 83
  37. 459 rem 30
  38. 325 rem 78
  39. 841 rem 8
  40. 243 rem 528

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