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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 269 · 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. 1.96400 ÷ 96 =
  2. 2.741439 ÷ 988 =
  3. 3.221569 ÷ 988 =
  4. 4.288244 ÷ 989 =
  5. 5.179596 ÷ 998 =
  6. 6.509993 ÷ 989 =
  7. 7.49520 ÷ 88 =
  8. 8.1181 ÷ 8 =
  9. 9.40764 ÷ 97 =
  10. 10.9077 ÷ 8 =
  11. 11.8545 ÷ 8 =
  12. 12.522439 ÷ 997 =
  13. 13.948347 ÷ 988 =
  14. 14.58919 ÷ 97 =
  15. 15.18158 ÷ 97 =
  16. 16.92406 ÷ 98 =
  17. 17.225697 ÷ 897 =
  18. 18.13142 ÷ 98 =
  19. 19.38614 ÷ 998 =
  20. 20.820995 ÷ 998 =
  21. 21.86898 ÷ 89 =
  22. 22.80448 ÷ 98 =
  23. 23.59058 ÷ 97 =
  24. 24.47598 ÷ 98 =
  25. 25.24049 ÷ 96 =
  26. 26.6815 ÷ 89 =
  27. 27.593484 ÷ 897 =
  28. 28.66460 ÷ 88 =
  29. 29.24312 ÷ 97 =
  30. 30.82770 ÷ 88 =
  31. 31.243244 ÷ 988 =
  32. 32.151114 ÷ 997 =
  33. 33.407395 ÷ 997 =
  34. 34.714429 ÷ 997 =
  35. 35.12381 ÷ 97 =
  36. 36.60281 ÷ 97 =
  37. 37.419776 ÷ 989 =
  38. 38.940476 ÷ 989 =
  39. 39.982537 ÷ 997 =
  40. 40.93557 ÷ 96 =

Answer key

  1. 1004 rem 16
  2. 750 rem 439
  3. 224 rem 257
  4. 291 rem 445
  5. 179 rem 954
  6. 515 rem 658
  7. 562 rem 64
  8. 147 rem 5
  9. 420 rem 24
  10. 1134 rem 5
  11. 1068 rem 1
  12. 524 rem 11
  13. 959 rem 855
  14. 607 rem 40
  15. 187 rem 19
  16. 942 rem 90
  17. 251 rem 550
  18. 134 rem 10
  19. 38 rem 690
  20. 822 rem 639
  21. 976 rem 34
  22. 820 rem 88
  23. 608 rem 82
  24. 485 rem 68
  25. 250 rem 49
  26. 76 rem 51
  27. 661 rem 567
  28. 755 rem 20
  29. 250 rem 62
  30. 940 rem 50
  31. 246 rem 196
  32. 151 rem 567
  33. 408 rem 619
  34. 716 rem 577
  35. 127 rem 62
  36. 621 rem 44
  37. 424 rem 440
  38. 950 rem 926
  39. 985 rem 492
  40. 974 rem 53

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