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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 11 · 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. 1.54200 ÷ 97 =
  2. 2.32731 ÷ 97 =
  3. 3.55115 ÷ 96 =
  4. 4.668375 ÷ 997 =
  5. 5.5149 ÷ 8 =
  6. 6.630393 ÷ 997 =
  7. 7.754173 ÷ 989 =
  8. 8.14913 ÷ 97 =
  9. 9.35493 ÷ 98 =
  10. 10.91985 ÷ 88 =
  11. 11.77502 ÷ 89 =
  12. 12.286869 ÷ 989 =
  13. 13.46854 ÷ 989 =
  14. 14.40436 ÷ 96 =
  15. 15.8239 ÷ 8 =
  16. 16.63422 ÷ 998 =
  17. 17.35866 ÷ 97 =
  18. 18.30855 ÷ 97 =
  19. 19.50146 ÷ 98 =
  20. 20.30683 ÷ 998 =
  21. 21.62294 ÷ 897 =
  22. 22.21130 ÷ 88 =
  23. 23.22334 ÷ 89 =
  24. 24.20270 ÷ 98 =
  25. 25.7372 ÷ 8 =
  26. 26.68955 ÷ 97 =
  27. 27.89590 ÷ 997 =
  28. 28.60845 ÷ 89 =
  29. 29.20530 ÷ 96 =
  30. 30.65828 ÷ 97 =
  31. 31.505755 ÷ 897 =
  32. 32.875756 ÷ 997 =
  33. 33.40513 ÷ 89 =
  34. 34.793 ÷ 8 =
  35. 35.30318 ÷ 89 =
  36. 36.78892 ÷ 96 =
  37. 37.303997 ÷ 988 =
  38. 38.236360 ÷ 897 =
  39. 39.964413 ÷ 998 =
  40. 40.342392 ÷ 988 =

Answer key

  1. 558 rem 74
  2. 337 rem 42
  3. 574 rem 11
  4. 670 rem 385
  5. 643 rem 5
  6. 632 rem 289
  7. 762 rem 555
  8. 153 rem 72
  9. 362 rem 17
  10. 1045 rem 25
  11. 870 rem 72
  12. 290 rem 59
  13. 47 rem 371
  14. 421 rem 20
  15. 1029 rem 7
  16. 63 rem 548
  17. 369 rem 73
  18. 318 rem 9
  19. 511 rem 68
  20. 30 rem 743
  21. 69 rem 401
  22. 240 rem 10
  23. 250 rem 84
  24. 206 rem 82
  25. 921 rem 4
  26. 710 rem 85
  27. 89 rem 857
  28. 683 rem 58
  29. 213 rem 82
  30. 678 rem 62
  31. 563 rem 744
  32. 878 rem 390
  33. 455 rem 18
  34. 99 rem 1
  35. 340 rem 58
  36. 821 rem 76
  37. 307 rem 681
  38. 263 rem 449
  39. 966 rem 345
  40. 346 rem 544

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