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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 322 · 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. 1.4078 ÷ 8 =
  2. 2.24659 ÷ 988 =
  3. 3.768 ÷ 8 =
  4. 4.3723 ÷ 8 =
  5. 5.346383 ÷ 998 =
  6. 6.17549 ÷ 97 =
  7. 7.80050 ÷ 97 =
  8. 8.480389 ÷ 897 =
  9. 9.6402 ÷ 8 =
  10. 10.37942 ÷ 89 =
  11. 11.121826 ÷ 997 =
  12. 12.333833 ÷ 988 =
  13. 13.982379 ÷ 988 =
  14. 14.27128 ÷ 96 =
  15. 15.2716 ÷ 98 =
  16. 16.3424 ÷ 8 =
  17. 17.97754 ÷ 98 =
  18. 18.72439 ÷ 98 =
  19. 19.773172 ÷ 989 =
  20. 20.233953 ÷ 997 =
  21. 21.60539 ÷ 97 =
  22. 22.312483 ÷ 998 =
  23. 23.24455 ÷ 97 =
  24. 24.45667 ÷ 97 =
  25. 25.30209 ÷ 88 =
  26. 26.776 ÷ 8 =
  27. 27.387711 ÷ 897 =
  28. 28.617180 ÷ 988 =
  29. 29.867849 ÷ 997 =
  30. 30.6000 ÷ 88 =
  31. 31.2255 ÷ 8 =
  32. 32.9278 ÷ 8 =
  33. 33.66411 ÷ 88 =
  34. 34.512762 ÷ 897 =
  35. 35.19772 ÷ 96 =
  36. 36.164179 ÷ 897 =
  37. 37.20797 ÷ 97 =
  38. 38.2695 ÷ 98 =
  39. 39.31676 ÷ 88 =
  40. 40.8918 ÷ 8 =

Answer key

  1. 509 rem 6
  2. 24 rem 947
  3. 96 rem 0
  4. 465 rem 3
  5. 347 rem 77
  6. 180 rem 89
  7. 825 rem 25
  8. 535 rem 494
  9. 800 rem 2
  10. 426 rem 28
  11. 122 rem 192
  12. 337 rem 877
  13. 994 rem 307
  14. 282 rem 56
  15. 27 rem 70
  16. 428 rem 0
  17. 997 rem 48
  18. 739 rem 17
  19. 781 rem 763
  20. 234 rem 655
  21. 624 rem 11
  22. 313 rem 109
  23. 252 rem 11
  24. 470 rem 77
  25. 343 rem 25
  26. 97 rem 0
  27. 432 rem 207
  28. 624 rem 668
  29. 870 rem 459
  30. 68 rem 16
  31. 281 rem 7
  32. 1159 rem 6
  33. 754 rem 59
  34. 571 rem 575
  35. 205 rem 92
  36. 183 rem 28
  37. 214 rem 39
  38. 27 rem 49
  39. 359 rem 84
  40. 1114 rem 6

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