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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 587 · 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. 1.11714 ÷ 97 =
  2. 2.322982 ÷ 988 =
  3. 3.37880 ÷ 88 =
  4. 4.435671 ÷ 998 =
  5. 5.974332 ÷ 988 =
  6. 6.72283 ÷ 97 =
  7. 7.241471 ÷ 988 =
  8. 8.17079 ÷ 89 =
  9. 9.99626 ÷ 98 =
  10. 10.1499 ÷ 96 =
  11. 11.78923 ÷ 98 =
  12. 12.21643 ÷ 89 =
  13. 13.219557 ÷ 988 =
  14. 14.611241 ÷ 897 =
  15. 15.709198 ÷ 998 =
  16. 16.21434 ÷ 88 =
  17. 17.5487 ÷ 89 =
  18. 18.91453 ÷ 98 =
  19. 19.23383 ÷ 97 =
  20. 20.61729 ÷ 88 =
  21. 21.433348 ÷ 998 =
  22. 22.33781 ÷ 97 =
  23. 23.85518 ÷ 97 =
  24. 24.45604 ÷ 98 =
  25. 25.7234 ÷ 98 =
  26. 26.4589 ÷ 88 =
  27. 27.144386 ÷ 988 =
  28. 28.151 ÷ 8 =
  29. 29.359248 ÷ 998 =
  30. 30.61016 ÷ 88 =
  31. 31.8653 ÷ 8 =
  32. 32.742188 ÷ 989 =
  33. 33.15949 ÷ 88 =
  34. 34.2047 ÷ 8 =
  35. 35.2579 ÷ 88 =
  36. 36.16356 ÷ 97 =
  37. 37.369443 ÷ 989 =
  38. 38.79387 ÷ 98 =
  39. 39.75005 ÷ 97 =
  40. 40.63640 ÷ 98 =

Answer key

  1. 120 rem 74
  2. 326 rem 894
  3. 430 rem 40
  4. 436 rem 543
  5. 986 rem 164
  6. 745 rem 18
  7. 244 rem 399
  8. 191 rem 80
  9. 1016 rem 58
  10. 15 rem 59
  11. 805 rem 33
  12. 243 rem 16
  13. 222 rem 221
  14. 681 rem 384
  15. 710 rem 618
  16. 243 rem 50
  17. 61 rem 58
  18. 933 rem 19
  19. 241 rem 6
  20. 701 rem 41
  21. 434 rem 216
  22. 348 rem 25
  23. 881 rem 61
  24. 465 rem 34
  25. 73 rem 80
  26. 52 rem 13
  27. 146 rem 138
  28. 18 rem 7
  29. 359 rem 966
  30. 693 rem 32
  31. 1081 rem 5
  32. 750 rem 438
  33. 181 rem 21
  34. 255 rem 7
  35. 29 rem 27
  36. 168 rem 60
  37. 373 rem 546
  38. 810 rem 7
  39. 773 rem 24
  40. 649 rem 38

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