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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 723 · 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. 1.10396 ÷ 89 =
  2. 2.55923 ÷ 98 =
  3. 3.4553 ÷ 8 =
  4. 4.228210 ÷ 988 =
  5. 5.47080 ÷ 96 =
  6. 6.93446 ÷ 98 =
  7. 7.38354 ÷ 88 =
  8. 8.996258 ÷ 997 =
  9. 9.22603 ÷ 97 =
  10. 10.436085 ÷ 988 =
  11. 11.628049 ÷ 989 =
  12. 12.76558 ÷ 98 =
  13. 13.575030 ÷ 988 =
  14. 14.903167 ÷ 897 =
  15. 15.31457 ÷ 97 =
  16. 16.348772 ÷ 997 =
  17. 17.882991 ÷ 997 =
  18. 18.6918 ÷ 96 =
  19. 19.20711 ÷ 989 =
  20. 20.6027 ÷ 8 =
  21. 21.75884 ÷ 89 =
  22. 22.515561 ÷ 988 =
  23. 23.931319 ÷ 997 =
  24. 24.226581 ÷ 897 =
  25. 25.1663 ÷ 8 =
  26. 26.738801 ÷ 988 =
  27. 27.154721 ÷ 998 =
  28. 28.688172 ÷ 989 =
  29. 29.18234 ÷ 88 =
  30. 30.482815 ÷ 989 =
  31. 31.78440 ÷ 96 =
  32. 32.68352 ÷ 97 =
  33. 33.659026 ÷ 998 =
  34. 34.872013 ÷ 997 =
  35. 35.908796 ÷ 988 =
  36. 36.26028 ÷ 96 =
  37. 37.22427 ÷ 89 =
  38. 38.813696 ÷ 998 =
  39. 39.87852 ÷ 97 =
  40. 40.80394 ÷ 88 =

Answer key

  1. 116 rem 72
  2. 570 rem 63
  3. 569 rem 1
  4. 230 rem 970
  5. 490 rem 40
  6. 953 rem 52
  7. 435 rem 74
  8. 999 rem 255
  9. 233 rem 2
  10. 441 rem 377
  11. 635 rem 34
  12. 781 rem 20
  13. 582 rem 14
  14. 1006 rem 785
  15. 324 rem 29
  16. 349 rem 819
  17. 885 rem 646
  18. 72 rem 6
  19. 20 rem 931
  20. 753 rem 3
  21. 852 rem 56
  22. 521 rem 813
  23. 934 rem 121
  24. 252 rem 537
  25. 207 rem 7
  26. 747 rem 765
  27. 155 rem 31
  28. 695 rem 817
  29. 207 rem 18
  30. 488 rem 183
  31. 817 rem 8
  32. 704 rem 64
  33. 660 rem 346
  34. 874 rem 635
  35. 919 rem 824
  36. 271 rem 12
  37. 251 rem 88
  38. 815 rem 326
  39. 905 rem 67
  40. 913 rem 50

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